Hardy-type spaces arising from a vector-valued Cauchy kernel

DOI10.1007/s40315-017-0203-5zbMath1387.32012OpenAlexW2612079145MaRDI QIDQ1689819

Jerry R. jun. Muir

Publication date: 17 January 2018

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40315-017-0203-5

zbMATH Keywords

reproducing kernelsCauchy-Szegő kernelHardy spaces on the unit ball

Mathematics Subject Classification ID

(H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Banach spaces of continuous, differentiable or analytic functions (46E15) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37)

Cites Work

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• A Herglotz-type representation for vector-valued holomorphic mappings on the unit ball of \(\mathbb{C}^n\)
• Weighted composition operators and integral-type operators between weighted Hardy spaces on the unit ball
• Decompositions of \(L^p\) and Hardy spaces of polyharmonic functions
• Theory of Bergman Spaces in the Unit Ball of C^n
• Convex families of holomorphic mappings related to the convex mappings of the ball in $\mathbb {C}^n$
• Spaces of Holomorphic Functions in the Unit Ball
• The Numerical Range of Holomorphic Functions in Banach Spaces

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