Found 41 Documents (Results 1–41)
Uniform estimates for concave homogeneous complex degenerate elliptic equations comparable to the Monge-Ampère equation. (English) Zbl 1537.35189
Plurisubharmonic functions and Monge-Ampère operators on complex varieties in bounded domains of \(\mathbb{C}^n\). (English) Zbl 1478.32105
Quasibounded plurisubharmonic functions. (English) Zbl 1482.32027
Reviewer: Rafał Czyż (Krakow)
A priori estimate for the complex Monge-Ampère equation. (English) Zbl 1477.32062
Reviewer: Rafał Czyż (Krakow)
Log-concavity of volume and complex Monge-Ampère equations with prescribed singularity. (English) Zbl 1460.32087
MSC:
32W20
Subsolution theorem and the Dirichlet problem for the quaternionic Monge-Ampère equation. (English) Zbl 1454.30009
Local singularities of plurisubharmonic functions. (English) Zbl 1439.32080
Rubinstein, Yanir A. (ed.) et al., Advances in complex geometry. Contributions from the JHU-UMD complex geometry seminar, John Hopkins University, Baltimore, MD, USA and University of Maryland, College Park, MD, USA, 2015–2018. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 735, 105-143 (2019).
Geometric pluripotential theory on Kähler manifolds. (English) Zbl 1439.32061
Rubinstein, Yanir A. (ed.) et al., Advances in complex geometry. Contributions from the JHU-UMD complex geometry seminar, John Hopkins University, Baltimore, MD, USA and University of Maryland, College Park, MD, USA, 2015–2018. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 735, 1-104 (2019).
On the Moser-Trudinger inequality in complex space. (English) Zbl 1432.32040
Reviewer: Marek Jarnicki (Kraków)
The geometry of \(m\)-hyperconvex domains. (English) Zbl 1421.31016
Reviewer: Marek Jarnicki (Kraków)
Hölder continuous solutions to the complex Monge-Ampère equations in non-smooth pseudoconvex domains. (English) Zbl 1402.32041
Approximation of \(m\)-subharmonic functions on bounded domains in \(\mathbb{C}^n\). (English) Zbl 1404.32062
Reviewer: Marek Jarnicki (Kraków)
The complex Monge-Ampère equation on weakly pseudoconvex domains. (L’équation de Monge-Ampère complexe sur les domaines faiblement pseudo-convexes.) (English. French summary) Zbl 1373.32030
Reviewer: Slawomir Kołodziej (Kraków)
Hölder regularity of the solution to the complex Monge-Ampère equation with \(L^p\) density. (English) Zbl 1361.32045
Reviewer: Rafał Czyz (Krakow)
Modulus of continuity of solutions to complex Hessian equations. (English) Zbl 1337.32046
Reviewer: Slawomir Kołodziej (Kraków)
A note on the hyperconvexity of pseudoconvex domains beyond Lipschitz regularity. (English) Zbl 1338.32030
Reviewer: Rafał Czyz (Krakow)
A survey on Bergman completeness. (English) Zbl 1326.32005
Bracci, Filippo (ed.) et al., Complex analysis and geometry. KSCV 10. Proceddings of the 10th symposium, Gyeongju, Korea, August 7–11, 2014. Tokyo: Springer (ISBN 978-4-431-55743-2/hbk; 978-4-431-55744-9/ebook). Springer Proceedings in Mathematics & Statistics 144, 99-117 (2015).
Plurisubharmonic approximation and boundary values of plurisubharmonic functions. (English) Zbl 1322.32024
Reviewer: Rafał Czyz (Krakow)
Cauchy-Riemann meet Monge-Ampère. (English) Zbl 1310.32004
Reviewer: Gregor Herbort (Wuppertal)
The complex Monge-Ampère equation in Kähler geometry. (English) Zbl 1293.32045
Bracci, Filippo (ed.) et al., Pluripotential theory. Lectures of the CIME course, Cetraro, Italy, 2011. Berlin: Springer; Florence: Fondazione CIME (ISBN 978-3-642-36420-4/pbk; 978-3-642-36421-1/ebook). Lecture Notes in Mathematics 2075. CIME Foundation Subseries, 95-141 (2013).
Reviewer: Anna Fino (Torino)
Polynomial hulls and proper analytic disks. (English) Zbl 1254.32014
MSC:
32E10
On the uniform estimate in the Calabi-Yau theorem. II. (English) Zbl 1239.32032
Reviewer: Slawomir Kołodziej (Kraków)
A local regularity of the complex Monge-Ampère equation. (English) Zbl 1237.32006
Reviewer: Emil J. Straube (College Station)
MSC:
32W20
An inequality for mixed Monge-Ampère measures. (English) Zbl 1169.32007
Reviewer: Marco Abate (Pisa)
Jensen measures and unbounded \(B\)-regular domains in \(\mathbb C^n\). (English) Zbl 1156.32020
Reviewer: Marek Jarnicki (Kraków)
MSC:
32T27
On the behavior of strictly plurisubharmonic functions near real hypersurfaces. (English) Zbl 1148.32014
Reviewer: Juhani Riihentaus (Joensuu)
Stein spaces with plurisubharmonic bounded exhaustion functions. (English) Zbl 1105.32010
Reviewer: Vasily A. Chernecky (Odessa)
Jensen measures and approximation of plurisubharmonic functions. (English) Zbl 1102.31009
Reviewer: Alexandr Yu. Rashkovsky (Stavanger)
The Bergman metric and the pluricomplex Green function. (English) Zbl 1071.32008
Reviewer: Alexandr Yu. Rashkovsky (Stavanger)
The general definition of the complex Monge-Ampère operator. (English) Zbl 1065.32020
Reviewer: K. G. Malyutin (Sumy)
Jensen measures and boundary values of plurisubharmonic functions. (English) Zbl 1021.32014
Reviewer: Alexandr Yu.Rashkovsky (Stavanger)
Interior regularity of the complex Monge-Ampère equation in convex domains. (English) Zbl 1020.32031
Reviewer: Pierre Mazet (Paris)
MSC:
32W20
Potentials in pluripotential theory. (English) Zbl 0961.31005
Reviewer: K.Malyutin (Sumy)
The complex Monge-Ampère equation. (English) Zbl 0913.35043
Reviewer: Thierry Aubin (Paris)
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