Found 102 Documents (Results 1–100)
Some results of quasi-convex mappings which have a \(\Phi\)-parametric representation in higher dimensions. (English) Zbl 07855008
\(g\)-starlike mappings of complex order \(\lambda\) on the unit ball \(\mathcal{B}^n\). (Chinese. English summary) Zbl 07828136
New subclasses of univalent mappings in several complex variables: extension operators and applications. (English) Zbl 1522.32036
Toeplitz determinants for a class of holomorphic mappings in higher dimensions. (English) Zbl 1522.32014
The Fekete-Szegö inequality and successive coefficients difference for a subclass of close-to-starlike mappings in complex Banach spaces. (English) Zbl 1524.32019
The refinement of Fekete and Szegö problems for close-to-convex functions and close-to-quasi-convex mappings. (English) Zbl 1520.30029
Extension operators and support points associated with \(g\)-Loewner chains on complex Banach spaces. (English) Zbl 1520.32004
Loewner chains applied to \(g\)-starlike mappings of complex order of complex Banach spaces. (English) Zbl 1517.32051
Fekete-Szegö problems for spirallike mappings and close-to-quasi-convex mappings on the unit ball of a complex Banach space. (English) Zbl 1517.32047
The Fekete and Szegö inequality for a class of holomorphic mappings on the unit polydisk in and its application. (English) Zbl 1505.30022
The subordination principle and its application to the generalized Roper-Suffridge extension operator. (English) Zbl 1513.32028
The generalized Roper-Suffridge operators on Bergman-Hartogs domains. (Chinese. English summary) Zbl 1513.32007
On the coefficient inequalities for a class of holomorphic mappings associated with spirallike mappings in several complex variables. (English) Zbl 1478.32011
The Fekete-Szegö problem for starlike mappings and nonlinear resolvents of the Carathéodory family on the unit balls of complex Banach spaces. (English) Zbl 1477.30018
The extension operators on \(B^{n+1}\) and bounded complete Reinhardt domains. (English) Zbl 1513.32008
Generalized roper-suffridge operator for \(\varepsilon\) starlike and boundary starlike mappings. (English) Zbl 1499.32032
On refinement of the coefficient inequalities for a subclass of quasi-convex mappings in several complex variables. (English) Zbl 1499.32038
The coefficient inequalities for a class of holomorphic mappings in several complex variables. (English) Zbl 1434.32023
\(g\)-Loewner chains, Bloch functions and extension operators in complex Banach spaces. (English) Zbl 1434.32021
Loewner chains, Bloch mappings and Pfaltzgraff-Suffridge extension operators on bounded symmetric domains. (English) Zbl 1436.32080
Reviewer: Dorina Raducanu (Brasov)
The invariance of subclasses of biholomorphic mappings on Bergman-Hartogs domains. (English) Zbl 1499.32010
Growth and distortion results for a class of biholomorphic mapping and extremal problem with parametric representation in \(\mathbb{C}^n\). (English) Zbl 1429.32008
Janowski-starlike mappings of complex order \(\lambda\) on the unit ball \(B^n\). (English) Zbl 1429.32007
Reviewer: Amedeo Altavilla (Ancona)
Convex families of holomorphic mappings related to the convex mappings of the ball in \(\mathbb {C}^n\). (English) Zbl 1462.32019
Sharp inequalities of homogeneous expansions of almost starlike mappings of order alpha. (English) Zbl 1408.32003
Extremal problems for mappings with \(g\)-parametric representation on the unit polydisc in \(\mathbb{C}^n\). (English) Zbl 1405.32015
Agranovsky, Mark (ed.) et al., Complex analysis and dynamical systems. New trends and open problems. Cham: Birkhäuser (ISBN 978-3-319-70153-0/hbk; 978-3-319-70154-7/ebook). Trends in Mathematics, 141-167 (2018).
Slice starlike functions over quaternions. (English) Zbl 1417.30048
Reviewer: Amedeo Altavilla (Ancona)
The Roper-Suffridge extension operator and its applications to convex mappings in \({\mathbb {C}}^{2}\). (English) Zbl 1457.32042
Approximation properties of univalent mappings on the unit ball in \(\mathbb{C}^n\). (English) Zbl 1390.32004
The roles played by order of starlikeness and the Bloch condition in the Roper-Suffridge extension operator. (English) Zbl 1401.32014
Reviewer: Ali Abkar (Qazvin)
Geometric mappings under the perturbed extension operators in complex systems analysis. (English) Zbl 1375.32032
Bounded support points for mappings with \(g\)-parametric representation in \(\mathbb{C}^2\). (English) Zbl 1372.32009
Reviewer: Dmitri V. Prokhorov (Saratov)
Distortion theorems for almost convex mappings of order \(\alpha\) in several complex variables. (English) Zbl 1356.32004
New subclasses of biholomorphic mappings and the modified Roper-Suffridge operator. (English) Zbl 1352.32003
Loewner chain associated with the modified Roper-Suffridge extension operator. (English) Zbl 1339.32006
Sharp distortion theorems for a subclass of quasi-convex mappings in several complex variables. (English) Zbl 1338.32004
Extreme points, support points and \(g\)-Loewner chains associated with Roper-Suffridge and Pfaltzgraff-Suffridge extension operators. (English) Zbl 1398.32006
Reviewer: Gabriela Kohr (Cluj-Napoca)
Fekete and Szegő problem for a subclass of quasi-convex mappings in several complex variables. (English) Zbl 1325.32004
Shearing process and an example of a bounded support function in \(S^0(\mathbb B^2)\). (English) Zbl 1322.32004
Reviewer: Gabriela Kohr (Cluj-Napoca)
Covering results and perturbed Roper-Suffridge operators. (English) Zbl 1303.30013
Reviewer: Dov Aharonov (Haifa)
Growth, distortion and coefficient bounds for Carathéodory families in \(\mathbb C^n\) and complex Banach spaces. (English) Zbl 1295.32009
Extremal properties associated with univalent subordination chains in \(\mathbb C^n\). (English) Zbl 1293.32021
Analytic and geometric properties associated with some extension operators. (English) Zbl 1303.32008
Reviewer: Gabriela Kohr (Cluj-Napoca)
Biholomorphic convex mappings of order \(\alpha\) on the unit ball in Hilbert spaces. (English) Zbl 1307.32004
Extensions of \(L^d\)-Loewner chains to higher dimensions. (English) Zbl 1284.32009
Reviewer: Filippo Bracci (Roma)
Sufficient conditions for \(\varepsilon\) quasi-convex mappings in a complex Banach space. (English) Zbl 1277.32003
Sufficient criteria for \(\varepsilon \) starlike mappings in a complex Banach space. (English) Zbl 1275.32006
An abstract approach to Loewner chains. (English) Zbl 1321.32005
Reviewer: Mirela Kohr (Cluj-Napoca)
The roles played by order of convexity or starlikeness and the Bloch condition in the extension of mappings from the disk to the ball. (English) Zbl 1275.32017
Extreme points, support points and the Loewner variation in several complex variables. (English) Zbl 1257.32012
Necessary conditions for the existence of higher order extensions of univalent mappings from the disk to the ball. (English) Zbl 1234.30012
The sharp estimates of homogeneous expansions for the generalized class of close-to-quasi-convex mappings. (English) Zbl 1235.32004
Growth and distortion theorems on subclasses of quasi-convex mappings in several complex variables. (English) Zbl 1227.32007
The sharp estimates of all homogeneous expansions for a class of quasi-convex mappings on the unit polydisk in \(\mathbb C^{n}\). (English) Zbl 1222.32032
Reviewer: Zywomir Dinew (Kraków)
Quasi-convex mappings of order \(\alpha\) on the unit polydisk in \(\mathbb{C}^n\). (English) Zbl 1209.32006
Reviewer: Dorina Raducanu (Brasov)
On some classes of bounded univalent mappings in several complex variables. (English) Zbl 1208.32016
Reviewer: Martin Chuaqui (Santiago de Chile)
On coefficient estimates for a class of holomorphic mappings. (English) Zbl 1195.32011
Reviewer: Alexandr Yu. Rashkovsky (Stavanger)
Construction of biholomorphic convex mappings on \(D_p\) in \(\mathbb{C}^n\). (English) Zbl 1181.32020
Reviewer: Gabriela Kohr (Cluj-Napoca)
Extension of convex mappings of order \(\alpha \) of the unit disk in \(\mathbb C\) to convex mappings of the unit ball in \(\mathbb C^n\). (English) Zbl 1168.32014
Reviewer: Dorina Raducanu (Brasov)
Loewner chains associated with the generalized Roper-Suffridge extension operator on some domains. (English) Zbl 1133.32001
Koebe invariant functions and extremal problems for holomorphic mappings in the unit ball of \(\mathbb C^n\). (English) Zbl 1143.32009
Reviewer: Dorina Raducanu (Brasov)
The generalized Roper-Suffridge extension operator on bounded complete Reinhardt domains. (English) Zbl 1159.32001
Reviewer: Dorina Raducanu (Brasov)
Parabolic starlike mappings in several complex variables. (English) Zbl 1131.32009
Reviewer: Martin Chuaqui (Santiago de Chile)
Löwner chains and a subclass of biholomorphic mappings. (English) Zbl 1126.30011
Reviewer: Gabriela Kohr (Cluj-Napoca)
MSC:
30C45
The Roper-Suffridge extension operator and classes of biholomorphic mappings. (English) Zbl 1123.32009
Reviewer: Martin Chuaqui (Santiago de Chile)
Loewner chains associated with the generalized Roper-Suffridge extension operator. (English) Zbl 1105.32012
Reviewer: Gabriela Kohr (Cluj-Napoca)
Quasiconformal extension of biholomorphic mappings in several complex variables. (English) Zbl 1089.32009
Reviewer: Dorina Raducanu (Brasov)
The decomposition theorem for the family of complete quasi-convex mappings. (English) Zbl 1059.30007
Reviewer: Dmitri V. Prokhorov (Saratov)
Construction of convex mappings of \(p\)-balls in \(\mathbb{C}^2\). (English) Zbl 1056.32017
Reviewer: Martin Chuaqui (Santiago de Chile)
Linearly invariant families of holomorphic mappings in \(\mathbb C^{\text n}\). Transition to other dimensions. (English) Zbl 1045.32017
Reviewer: Eleonora Storozhenko (Odessa)
The generalized Roper-Suffridge extension operator. (English) Zbl 1031.32002
Reviewer: Marek Jarnicki (Kraków)
On the Roper-Suffridge extension operator. (English) Zbl 1034.32001
Reviewer: Eleonora Storozhenko (Odessa)
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