Estimates for invariant metrics on \(\mathbb{C}\)-convex domains. Zbl 1232.32005
Nikolov, Nikolai; Pflug, Peter; Zwonek, Włodzimierz |
|
2011
|
An example of a bounded \({\mathbf C}\)-convex domain which is not biholomorphic to a convex domain. Zbl 1155.32009
Nikolov, Nikolai; Pflug, Peter; Zwonek, Włodzimierz |
|
2008
|
Boundary behavior of the squeezing functions of \(\mathbb{C}\)-convex domains and plane domains. Zbl 1373.32010
Nikolov, N.; Andreev, L. |
|
2017
|
Estimates of the Kobayashi and quasi-hyperbolic distances. Zbl 1366.32006
Nikolov, Nikolai; Andreev, Lyubomir |
|
2017
|
The Lempert function of the symmetrized polydisc in higher dimensions is not a distance. Zbl 1123.32007
Nikolov, Nikolai; Pflug, Peter; Zwonek, Wlodzimierz |
|
2007
|
The symmetrized polydisc cannot be exhausted by domains biholomorphic to convex domains. Zbl 1111.32020
Nikolov, Nikolai |
|
2006
|
Visibility of Kobayashi geodesics in convex domains and related properties. Zbl 1498.32004
Bracci, Filippo; Nikolov, Nikolai; Thomas, Pascal J. |
|
2022
|
Localization of invariant metrics. Zbl 1008.32005
Nikolov, Nikolai |
|
2002
|
On the squeezing function and Fridman invariants. Zbl 1436.32048
Nikolov, Nikolai; Verma, Kaushal |
|
2020
|
The Bergman kernel of the symmetrized polydisc in higher dimensions has zeros. Zbl 1106.32002
Nikolov, Nikolai; Zwonek, Włodzimierz |
|
2006
|
The Kobayashi balls of (\({\mathbb {C}}\)-)convex domains. Zbl 1326.32021
Nikolov, Nikolai; Trybuła, Maria |
|
2015
|
On the sum of powered distances to certain sets of points on the circle. Zbl 1246.52014
Nikolov, Nikolai; Rafailov, Rafael |
|
2011
|
Behavior of the squeezing function near \(h\)-extendible boundary points. Zbl 1398.32013
Nikolov, Nikolai |
|
2018
|
On different extremal bases for \(\mathbb C\)-convex domains. Zbl 1279.32010
Nikolov, Nikolai; Pflug, Peter; Thomas, Pascal J. |
|
2013
|
Estimates for the squeezing function near strictly pseudoconvex boundary points with applications. Zbl 1436.32047
Nikolov, Nikolai; Trybuła, Maria |
|
2020
|
Estimates for the Bergman kernel and metric of convex domains in \({\mathbb C}^n\). Zbl 1022.32001
Nikolov, Nikolai; Pflug, Peter |
|
2003
|
On extremums of sums of powered distances to a finite set of points. Zbl 1287.52007
Nikolov, Nikolai; Rafailov, Rafael |
|
2013
|
Gromov (non-)hyperbolicity of certain domains in \(\mathbb{C}^{N}\). Zbl 1350.32018
Nikolov, Nikolai; Thomas, Pascal J.; Trybuła, Maria |
|
2016
|
Comparison of invariant functions on strongly pseudoconvex domains. Zbl 1297.32013
Nikolov, Nikolai |
|
2015
|
Estimates of invariant distances on “convex” domains. Zbl 1305.32001
Nikolov, Nikolai |
|
2014
|
Upper bound for the Lempert function of smooth domains. Zbl 1207.32010
Nikolov, Nikolai; Pflug, Peter; Thomas, Pascal J. |
|
2010
|
Estimates of the Carathéodory metric on the symmetrized polydisc. Zbl 1135.32014
Nikolov, Nikolai; Pflug, Peter; Thomas, Pascal J.; Zwonek, Włodzimierz |
|
2008
|
Spectral Nevanlinna-Pick and Carathéodory-Fejér problems for \(n\leq 3\). Zbl 1256.30020
Nikolov, Nikolai; Pflug, Peter; Thomas, Pascal J. |
|
2011
|
Discontinuity of the Lempert function and the Kobayashi-Royden metric of the spectral ball. Zbl 1154.32003
Nikolov, Nikolai; Thomas, Pascal J.; Zwonek, Włodzimierz |
|
2008
|
Lifting maps from the symmetrized polydisc in small dimensions. Zbl 1350.30055
Nikolov, Nikolai; Thomas, Pascal J.; Tran, Duc-Anh |
|
2016
|
On a local characterization of pseudoconvex domains. Zbl 1202.32010
Nikolov, Nikolai; Pflug, Peter; Thomas, Pascal J.; Zwonek, Wlodzimierz |
|
2009
|
Behavior of the Bergman kernel and metric near convex boundary points. Zbl 1020.32001
Nikolov, Nikolai; Pflug, Peter |
|
2003
|
Behavior of the Carathéodory metric near strictly convex boundary points. Zbl 1033.32009
Jarnicki, Marek; Nikolov, Nikolai |
|
2002
|
On the derivatives of the Lempert functions. Zbl 1150.32004
Nikolov, Nikolai; Pflug, Peter |
|
2008
|
On the definition of the Kobayashi-Buseman pseudometric. Zbl 1125.32005
Nikolov, Nikolai; Pflug, Peter |
|
2006
|
Boundary behaviour of invariant functions on planar domains. Zbl 1353.32016
Nikolov, Nikolai; Trybuła, Maria; Andreev, Lyubomir |
|
2016
|
Comparison of the real and the complex Green functions, and sharp estimates of the Kobayashi distance. Zbl 1404.32023
Nikolov, Nikolai; Thomas, Pascal J. |
|
2018
|
Quantitative localization and comparison of invariant distances of domains in \(\mathbb{C}^n\). Zbl 1510.32019
Nikolov, Nikolai; Thomas, Pascal J. |
|
2023
|
Comparison of the Bergman kernel and the Carathéodory-Eisenman volume. Zbl 1435.32012
Nikolov, Nikolai; Thomas, Pascal J. |
|
2019
|
Invariant functions and metrics in complex analysis. Zbl 1276.32012
Nikolov, Nikolai |
|
2012
|
Estimates for invariant metrics near non-semipositive boundary points. Zbl 1267.32009
Dieu, Nguyen Quang; Nikolov, Nikolai; Thomas, Pascal J. |
|
2013
|
Nontangential weighted limit of the infinitesimal Carathéodory metric in an \(h\)-extendible boundary point of a smooth bounded pseudoconvex domain in \(\mathbb{C}^n\). Zbl 0933.32009
Nikolov, N. |
|
1999
|
Local vs. global hyperconvexity, tautness or \(k\)-completeness for unbounded open sets in \(\mathbb C^n\). Zbl 1170.32302
Pflug, Peter; Nikolov, Nikolai |
|
2005
|
Two-dimensional slices of non-pseudoconvex open sets. Zbl 1255.32006
Nikolov, Nikolai; Pflug, Peter |
|
2012
|
Estimates of the Bergman distance on Dini-smooth bounded planar domains. Zbl 1354.30030
Nikolov, Nikolai; Trybuła, Maria |
|
2016
|
Gromov hyperbolicity of the Kobayashi metric on \(\mathbb{C}\)-convex domains. Zbl 1400.53033
Nikolov, Nikolai; Trybuła, Maria |
|
2018
|
A converse of the Gauss-Lucas theorem. Zbl 1303.30006
Nikolov, Nikolai; Sendov, Blagovest |
|
2014
|
On the product property for the Lempert function. Zbl 1085.32006
Nikolov, Nikolai; Zwonek, Wlodzimierz |
|
2005
|
Stability and boundary behavior of the Kobayashi metrics. Zbl 0980.54021
Nikolov, N. |
|
2001
|
Hyperbolicity of \( C \)-convex domains. Zbl 1141.32008
Nikolov, Nikolai; Saracco, Alberto |
|
2007
|
Local and global visibility and Gromov hyperbolicity of domains with respect to the Kobayashi distance. Zbl 07785453
Bracci, Filippo; Gaussier, Hervé; Nikolov, Nikolai; Thomas, Pascal J. |
|
2024
|
The multipole Lempert function is monotone under inclusion of pole sets. Zbl 1135.32034
Nikolov, Nikolai; Pflug, Peter |
|
2006
|
Two remarks on the Suita conjecture. Zbl 1314.32004
Nikolov, Nikolai |
|
2015
|
Self-avoiding walks on \(\mathbb Z\times \{0,1\}\). Zbl 1284.05020
Nikolov, Nikolai |
|
2012
|
Convex characterization of linearly convex domains. Zbl 1273.32017
Nikolov, Nikolai; Thomas, Pascal J. |
|
2012
|
Rigid characterizations of pseudoconvex domains. Zbl 1280.32005
Nikolov, Nikolai; Thomas, Pascal J. |
|
2012
|
On a lower bound of the Kobayashi metric. Zbl 1353.32015
Nikolov, Nikolai |
|
2016
|
On the Dirichlet problem to the Liouville equation. Explicit formulas. Zbl 1374.35180
Popivanov, Petar; Nikolov, Nikolai |
|
2016
|
Strong localization of invariant metrics. Zbl 1503.32008
Fornæss, John Erik; Nikolov, Nikolai |
|
2022
|
Local and global notions of visibility with respect to Kobayashi distance: a comparison. Zbl 1537.32035
Nikolov, Nikolai; Ökten, Ahmed Yekta; Thomas, Pascal J. |
|
2024
|
Comparison and localization of invariant functions on strongly pseudoconvex domains. Zbl 1523.32021
Nikolov, Nikolai |
|
2023
|
Behavior of invariant metrics near convexifiable boundary points. Zbl 1018.32012
Nikolov, Nikolai |
|
2003
|
Continuity and boundary behavior of the Carathéodory metric. Zbl 0972.32009
Nikolov, N. |
|
2000
|
Entire curves in complements of Cartesian products in \(\mathbb C^N\). Zbl 1031.32001
Nikolov, Nikolai |
|
2002
|
The completeness of the Bergman distance of planar domains has a local character. Zbl 1038.32013
Nikolov, Nikolai |
|
2003
|
Concave domains with trivial biholomorphic invariants. Zbl 1019.32012
Jarnicki, Witold; Nikolov, Nikolai |
|
2002
|
Biholomorphy of the model domains at a semiregular boundary point. Zbl 1010.32018
Nikolov, N. |
|
2002
|
One-radius results for supermedian functions on \({\mathbb R^d} , d \leq \) 2. Zbl 1204.31001
Hansen, Wolfhard; Nikolov, Nikolai |
|
2010
|
Kobayashi-Royden pseudometric versus Lempert function. Zbl 1245.32002
Nikolov, Nikolai; Pflug, Peter |
|
2011
|
Growth of Sibony metric and Bergman kernel for domains with low regularity. Zbl 1470.32008
Nikolov, Nikolai; Thomas, Pascal J. |
|
2021
|
Semiregular polygons. Zbl 1097.51008
Mushkarov, Oleg; Nikolov, Nikolai |
|
2006
|
On the zero set of the Kobayashi-Royden pseudometric of the spectral unit ball. Zbl 1144.32003
Nikolov, Nikolai; Thomas, Pascal J. |
|
2008
|
Lipschitzness of the Lempert and Green functions. Zbl 1171.32007
Nikolov, Nikolai; Pflug, Peter; Thomas, Pascal J. |
|
2009
|
Simultaneous approximation and interpolation on Arakelian sets. Zbl 1142.30014
Nikolov, Nikolai; Pflug, Peter |
|
2007
|
Lower estimates of the Kobayashi distance and limits of complex geodesics. Zbl 07850217
Kosiński, Łukasz; Nikolov, Nikolai |
|
2024
|
Explicit universal bounds for squeezing functions of \((\mathbb{C}\)-)convex domains. Zbl 07872372
Bharali, Gautam; Nikolov, Nikolai |
|
2024
|
Local and global visibility and Gromov hyperbolicity of domains with respect to the Kobayashi distance. Zbl 07785453
Bracci, Filippo; Gaussier, Hervé; Nikolov, Nikolai; Thomas, Pascal J. |
|
2024
|
Local and global notions of visibility with respect to Kobayashi distance: a comparison. Zbl 1537.32035
Nikolov, Nikolai; Ökten, Ahmed Yekta; Thomas, Pascal J. |
|
2024
|
Lower estimates of the Kobayashi distance and limits of complex geodesics. Zbl 07850217
Kosiński, Łukasz; Nikolov, Nikolai |
|
2024
|
Explicit universal bounds for squeezing functions of \((\mathbb{C}\)-)convex domains. Zbl 07872372
Bharali, Gautam; Nikolov, Nikolai |
|
2024
|
Quantitative localization and comparison of invariant distances of domains in \(\mathbb{C}^n\). Zbl 1510.32019
Nikolov, Nikolai; Thomas, Pascal J. |
|
2023
|
Comparison and localization of invariant functions on strongly pseudoconvex domains. Zbl 1523.32021
Nikolov, Nikolai |
|
2023
|
Visibility of Kobayashi geodesics in convex domains and related properties. Zbl 1498.32004
Bracci, Filippo; Nikolov, Nikolai; Thomas, Pascal J. |
|
2022
|
Strong localization of invariant metrics. Zbl 1503.32008
Fornæss, John Erik; Nikolov, Nikolai |
|
2022
|
Growth of Sibony metric and Bergman kernel for domains with low regularity. Zbl 1470.32008
Nikolov, Nikolai; Thomas, Pascal J. |
|
2021
|
On the squeezing function and Fridman invariants. Zbl 1436.32048
Nikolov, Nikolai; Verma, Kaushal |
|
2020
|
Estimates for the squeezing function near strictly pseudoconvex boundary points with applications. Zbl 1436.32047
Nikolov, Nikolai; Trybuła, Maria |
|
2020
|
Comparison of the Bergman kernel and the Carathéodory-Eisenman volume. Zbl 1435.32012
Nikolov, Nikolai; Thomas, Pascal J. |
|
2019
|
Behavior of the squeezing function near \(h\)-extendible boundary points. Zbl 1398.32013
Nikolov, Nikolai |
|
2018
|
Comparison of the real and the complex Green functions, and sharp estimates of the Kobayashi distance. Zbl 1404.32023
Nikolov, Nikolai; Thomas, Pascal J. |
|
2018
|
Gromov hyperbolicity of the Kobayashi metric on \(\mathbb{C}\)-convex domains. Zbl 1400.53033
Nikolov, Nikolai; Trybuła, Maria |
|
2018
|
Boundary behavior of the squeezing functions of \(\mathbb{C}\)-convex domains and plane domains. Zbl 1373.32010
Nikolov, N.; Andreev, L. |
|
2017
|
Estimates of the Kobayashi and quasi-hyperbolic distances. Zbl 1366.32006
Nikolov, Nikolai; Andreev, Lyubomir |
|
2017
|
Gromov (non-)hyperbolicity of certain domains in \(\mathbb{C}^{N}\). Zbl 1350.32018
Nikolov, Nikolai; Thomas, Pascal J.; Trybuła, Maria |
|
2016
|
Lifting maps from the symmetrized polydisc in small dimensions. Zbl 1350.30055
Nikolov, Nikolai; Thomas, Pascal J.; Tran, Duc-Anh |
|
2016
|
Boundary behaviour of invariant functions on planar domains. Zbl 1353.32016
Nikolov, Nikolai; Trybuła, Maria; Andreev, Lyubomir |
|
2016
|
Estimates of the Bergman distance on Dini-smooth bounded planar domains. Zbl 1354.30030
Nikolov, Nikolai; Trybuła, Maria |
|
2016
|
On a lower bound of the Kobayashi metric. Zbl 1353.32015
Nikolov, Nikolai |
|
2016
|
On the Dirichlet problem to the Liouville equation. Explicit formulas. Zbl 1374.35180
Popivanov, Petar; Nikolov, Nikolai |
|
2016
|
The Kobayashi balls of (\({\mathbb {C}}\)-)convex domains. Zbl 1326.32021
Nikolov, Nikolai; Trybuła, Maria |
|
2015
|
Comparison of invariant functions on strongly pseudoconvex domains. Zbl 1297.32013
Nikolov, Nikolai |
|
2015
|
Two remarks on the Suita conjecture. Zbl 1314.32004
Nikolov, Nikolai |
|
2015
|
Estimates of invariant distances on “convex” domains. Zbl 1305.32001
Nikolov, Nikolai |
|
2014
|
A converse of the Gauss-Lucas theorem. Zbl 1303.30006
Nikolov, Nikolai; Sendov, Blagovest |
|
2014
|
On different extremal bases for \(\mathbb C\)-convex domains. Zbl 1279.32010
Nikolov, Nikolai; Pflug, Peter; Thomas, Pascal J. |
|
2013
|
On extremums of sums of powered distances to a finite set of points. Zbl 1287.52007
Nikolov, Nikolai; Rafailov, Rafael |
|
2013
|
Estimates for invariant metrics near non-semipositive boundary points. Zbl 1267.32009
Dieu, Nguyen Quang; Nikolov, Nikolai; Thomas, Pascal J. |
|
2013
|
Invariant functions and metrics in complex analysis. Zbl 1276.32012
Nikolov, Nikolai |
|
2012
|
Two-dimensional slices of non-pseudoconvex open sets. Zbl 1255.32006
Nikolov, Nikolai; Pflug, Peter |
|
2012
|
Self-avoiding walks on \(\mathbb Z\times \{0,1\}\). Zbl 1284.05020
Nikolov, Nikolai |
|
2012
|
Convex characterization of linearly convex domains. Zbl 1273.32017
Nikolov, Nikolai; Thomas, Pascal J. |
|
2012
|
Rigid characterizations of pseudoconvex domains. Zbl 1280.32005
Nikolov, Nikolai; Thomas, Pascal J. |
|
2012
|
Estimates for invariant metrics on \(\mathbb{C}\)-convex domains. Zbl 1232.32005
Nikolov, Nikolai; Pflug, Peter; Zwonek, Włodzimierz |
|
2011
|
On the sum of powered distances to certain sets of points on the circle. Zbl 1246.52014
Nikolov, Nikolai; Rafailov, Rafael |
|
2011
|
Spectral Nevanlinna-Pick and Carathéodory-Fejér problems for \(n\leq 3\). Zbl 1256.30020
Nikolov, Nikolai; Pflug, Peter; Thomas, Pascal J. |
|
2011
|
Kobayashi-Royden pseudometric versus Lempert function. Zbl 1245.32002
Nikolov, Nikolai; Pflug, Peter |
|
2011
|
Upper bound for the Lempert function of smooth domains. Zbl 1207.32010
Nikolov, Nikolai; Pflug, Peter; Thomas, Pascal J. |
|
2010
|
One-radius results for supermedian functions on \({\mathbb R^d} , d \leq \) 2. Zbl 1204.31001
Hansen, Wolfhard; Nikolov, Nikolai |
|
2010
|
On a local characterization of pseudoconvex domains. Zbl 1202.32010
Nikolov, Nikolai; Pflug, Peter; Thomas, Pascal J.; Zwonek, Wlodzimierz |
|
2009
|
Lipschitzness of the Lempert and Green functions. Zbl 1171.32007
Nikolov, Nikolai; Pflug, Peter; Thomas, Pascal J. |
|
2009
|
An example of a bounded \({\mathbf C}\)-convex domain which is not biholomorphic to a convex domain. Zbl 1155.32009
Nikolov, Nikolai; Pflug, Peter; Zwonek, Włodzimierz |
|
2008
|
Estimates of the Carathéodory metric on the symmetrized polydisc. Zbl 1135.32014
Nikolov, Nikolai; Pflug, Peter; Thomas, Pascal J.; Zwonek, Włodzimierz |
|
2008
|
Discontinuity of the Lempert function and the Kobayashi-Royden metric of the spectral ball. Zbl 1154.32003
Nikolov, Nikolai; Thomas, Pascal J.; Zwonek, Włodzimierz |
|
2008
|
On the derivatives of the Lempert functions. Zbl 1150.32004
Nikolov, Nikolai; Pflug, Peter |
|
2008
|
On the zero set of the Kobayashi-Royden pseudometric of the spectral unit ball. Zbl 1144.32003
Nikolov, Nikolai; Thomas, Pascal J. |
|
2008
|
The Lempert function of the symmetrized polydisc in higher dimensions is not a distance. Zbl 1123.32007
Nikolov, Nikolai; Pflug, Peter; Zwonek, Wlodzimierz |
|
2007
|
Hyperbolicity of \( C \)-convex domains. Zbl 1141.32008
Nikolov, Nikolai; Saracco, Alberto |
|
2007
|
Simultaneous approximation and interpolation on Arakelian sets. Zbl 1142.30014
Nikolov, Nikolai; Pflug, Peter |
|
2007
|
The symmetrized polydisc cannot be exhausted by domains biholomorphic to convex domains. Zbl 1111.32020
Nikolov, Nikolai |
|
2006
|
The Bergman kernel of the symmetrized polydisc in higher dimensions has zeros. Zbl 1106.32002
Nikolov, Nikolai; Zwonek, Włodzimierz |
|
2006
|
On the definition of the Kobayashi-Buseman pseudometric. Zbl 1125.32005
Nikolov, Nikolai; Pflug, Peter |
|
2006
|
The multipole Lempert function is monotone under inclusion of pole sets. Zbl 1135.32034
Nikolov, Nikolai; Pflug, Peter |
|
2006
|
Semiregular polygons. Zbl 1097.51008
Mushkarov, Oleg; Nikolov, Nikolai |
|
2006
|
Local vs. global hyperconvexity, tautness or \(k\)-completeness for unbounded open sets in \(\mathbb C^n\). Zbl 1170.32302
Pflug, Peter; Nikolov, Nikolai |
|
2005
|
On the product property for the Lempert function. Zbl 1085.32006
Nikolov, Nikolai; Zwonek, Wlodzimierz |
|
2005
|
Estimates for the Bergman kernel and metric of convex domains in \({\mathbb C}^n\). Zbl 1022.32001
Nikolov, Nikolai; Pflug, Peter |
|
2003
|
Behavior of the Bergman kernel and metric near convex boundary points. Zbl 1020.32001
Nikolov, Nikolai; Pflug, Peter |
|
2003
|
Behavior of invariant metrics near convexifiable boundary points. Zbl 1018.32012
Nikolov, Nikolai |
|
2003
|
The completeness of the Bergman distance of planar domains has a local character. Zbl 1038.32013
Nikolov, Nikolai |
|
2003
|
Localization of invariant metrics. Zbl 1008.32005
Nikolov, Nikolai |
|
2002
|
Behavior of the Carathéodory metric near strictly convex boundary points. Zbl 1033.32009
Jarnicki, Marek; Nikolov, Nikolai |
|
2002
|
Entire curves in complements of Cartesian products in \(\mathbb C^N\). Zbl 1031.32001
Nikolov, Nikolai |
|
2002
|
Concave domains with trivial biholomorphic invariants. Zbl 1019.32012
Jarnicki, Witold; Nikolov, Nikolai |
|
2002
|
Biholomorphy of the model domains at a semiregular boundary point. Zbl 1010.32018
Nikolov, N. |
|
2002
|
Stability and boundary behavior of the Kobayashi metrics. Zbl 0980.54021
Nikolov, N. |
|
2001
|
Continuity and boundary behavior of the Carathéodory metric. Zbl 0972.32009
Nikolov, N. |
|
2000
|
Nontangential weighted limit of the infinitesimal Carathéodory metric in an \(h\)-extendible boundary point of a smooth bounded pseudoconvex domain in \(\mathbb{C}^n\). Zbl 0933.32009
Nikolov, N. |
|
1999
|
