Convexity properties of holomorphic mappings in ℂⁿ

DOI10.1090/S0002-9947-99-02219-9zbMath0926.32012OpenAlexW2092886062MaRDI QIDQ4235612

Kevin A. Roper, Ted J. Suffridge

Publication date: 22 March 1999

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-99-02219-9

zbMATH Keywords

subordinationstarlike mappingconvex mapping

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Integration on analytic sets and spaces, currents (32C30)

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• Applications of the subordination principle to univalent functions
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• Some bounds on convex mappings in several complex variables
• Convex mappings on the unit ball of \(\mathbb C^ n\)
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• Some remarks on convex maps of the unit disk
• Starlike and convex maps in Banach spaces
• Φ-Like Holomorphic Functions In C n and Banach Spaces
• SCHWARZ'S LEMMA IN NORMED LINEAR SPACES
• On a theorem of Grace

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