Found 87 Documents (Results 1–87)
\(g\)-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
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
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
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
\(g\)-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
The Roper-Suffridge extension operator and its applications to convex mappings in \({\mathbb {C}}^{2}\). (English) Zbl 1457.32042
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
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
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)
Construction of biholomorphic convex mappings of order \(\alpha\) on \(B_p^n\). (English) Zbl 1474.32038
Two-point distortion bounds for biholomorphic mappings of the ball in \(\mathbb C^n\). (English) Zbl 1322.32014
Reviewer: Gabriela Kohr (Cluj-Napoca)
MSC:
32H02
Covering results and perturbed Roper-Suffridge operators. (English) Zbl 1303.30013
Reviewer: Dov Aharonov (Haifa)
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)
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
A new Roper-Suffridge extension operator on a Reinhardt domain. (English) Zbl 1231.32001
MSC:
32A07
Convex mappings on some circular domains. (English) Zbl 1209.32005
Reviewer: Gabriela Kohr (Cluj-Napoca)
On some classes of bounded univalent mappings in several complex variables. (English) Zbl 1208.32016
Reviewer: Martin Chuaqui (Santiago de Chile)
Convex subordination chains and injective mappings in \(\mathbb C^n\). (English) Zbl 1187.32012
Reviewer: Dorina Raducanu (Brasov)
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)
Convex mappings on some Reinhardt domains. (English) Zbl 1157.32017
MSC:
32H02
32A07
Asymptotically spirallike mappings in several complex variables. (English) Zbl 1148.32009
MSC:
32H02
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)
The generalized Roper-Suffridge extension operator for some biholomorphic mappings. (English) Zbl 1106.32015
MSC:
32H02
On \(\epsilon\) quasi-convex mappings in the unit ball of a complex Banach space. (English) Zbl 1116.46034
Reviewer: Tej Singh Nahar (Bhilwara)
MSC:
46G20
Criteria for biholomorphic convex mappings on the unit ball in Hilbert spaces. (English) Zbl 1103.32008
Reviewer: Dorina Raducanu (Brasov)
MSC:
32H02
Loewner chains associated with the generalized Roper-Suffridge extension operator. (English) Zbl 1105.32012
Reviewer: Gabriela Kohr (Cluj-Napoca)
Some sufficient conditions for biholomorphic convex mappings on \(B_p^n\). (English) Zbl 1092.32012
Reviewer: Dorina Raducanu (Brasov)
MSC:
32H02
On two conjectures for convex biholomorphic mappings in \(\mathbb C ^n\). (English) Zbl 1086.32012
Reviewer: Gabriela Kohr (Cluj-Napoca)
MSC:
32H02
Roper-Suffridge extension operator and the lower bound for the distortion. (English) Zbl 1067.32012
Reviewer: David M. Shoikhet (Karmiel)
MSC:
32H02
Construction of convex mappings of \(p\)-balls in \(\mathbb{C}^2\). (English) Zbl 1056.32017
Reviewer: Martin Chuaqui (Santiago de Chile)
On the precise growth, covering, and distortion theorems for normalized biholomorphic mappings. (English) Zbl 1052.58013
Reviewer: Gabriela Kohr (Cluj-Napoca)
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)
Applications of a decomposition of holomorphic mappings in \(\mathbb C^n\) with respect to a cyclic group. (English) Zbl 1029.32006
Reviewer: Martin Chuaqui (Santiago de Chile)
On the Roper-Suffridge extension operator. (English) Zbl 1034.32001
Reviewer: Eleonora Storozhenko (Odessa)
Distortion theorems for biholomorphic convex mappings in \({\mathbb C}^n\). (English) Zbl 1015.32015
Reviewer: P.Z.Agranovich (Khar’kov)
MSC:
32H02
Unbounded convex mappings of the ball in \(\mathbb{C}^n\). (English) Zbl 0978.32016
Reviewer: Martin Chuaqui (Santiago de Chile)
Univalent mappings associated with the Roper-Suffridge extension operator. (English) Zbl 0981.32002
Reviewer: P.Boyadjiev (Sofia)
MSC:
32A17
Loewner chains and the Roper-Suffridge extension operator. (English) Zbl 0965.32008
Reviewer: P.Boyadjiev (Sofia)
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