Vector-valued kernels of Bergman type

DOI10.1007/s11785-017-0662-8zbMath1416.32002OpenAlexW2600645489MaRDI QIDQ1623859

Jerry R. jun. Muir

Publication date: 23 November 2018

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-017-0662-8

zbMATH Keywords

Bergman spacesreproducing kernelsholomorphic mappingsBergman kernels

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Bergman spaces of functions in several complex variables (32A36) Banach spaces of continuous, differentiable or analytic functions (46E15) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Cites Work

• A Herglotz-type representation for vector-valued holomorphic mappings on the unit ball of \(\mathbb{C}^n\)
• Decompositions of \(L^p\) and Hardy spaces of polyharmonic functions
• Theory of Bergman Spaces in the Unit Ball of C^n
• Spaces of Holomorphic Functions in the Unit Ball
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