A Herglotz-type representation for vector-valued holomorphic mappings on the unit ball of \(\mathbb{C}^n\)

DOI10.1016/J.JMAA.2016.03.027zbMath1350.32008OpenAlexW2297343509MaRDI QIDQ269420

Jerry R. jun. Muir

Publication date: 18 April 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.03.027

zbMATH Keywords

probability measureCaratheodory classHerglotz representation

Mathematics Subject Classification ID

Integral representations, constructed kernels (e.g., Cauchy, Fantappiè-type kernels) (32A26)

Related Items (3)

Vector-valued kernels of Bergman type ⋮ Hardy-type spaces arising from a vector-valued Cauchy kernel ⋮ Convex families of holomorphic mappings related to the convex mappings of the ball in $\mathbb {C}^n$

Cites Work

• Spaces of Holomorphic Functions in the Unit Ball
• Holomorphic Functions With Positive Real Part on Polycylinders
• Convex Hulls of Some Classical Families of Univalent Functions
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