The Bloch space of \(M\)-harmonic functions on bounded symmetric domains

DOI10.1007/BF01318234zbMath0884.32024MaRDI QIDQ1358623

Kyong T. Hahn, El Hassan Youssfi

Publication date: 1 April 1998

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178771

zbMATH Keywords

Bergman kernelBloch spacepluriharmonic functionsbounded symmetric domains\(M\)-harmonic functions

Mathematics Subject Classification ID

Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Pluriharmonic and plurisubharmonic functions (31C10) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Cites Work

• Schatten class Hankel operators on the Bergman space
• Analytic invariants and the Schwarz-Pick inequality
• BMO in the Bergman metric on bounded symmetric domains
• On completeness of the Bergman metric and its subordinate metric. II
• Realization of Hermitian symmetric spaces as generalized half-planes
• The Poisson integral for generalized half-planes and bounded symmetric domains
• Function Theory on Cartan Domains and the Berezin-Toeplitz Symbol Calculus
• Bloch functions in several complex variables. II.
• Mean value theorems for harmonic and holomorphic functions on bounded symmetric domains.
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