Groups of linear isometries of spaces \(M^q\) of holomorphic functions of several complex variables

DOI10.1134/S0001434608030152zbMath1159.32006OpenAlexW2059753023MaRDI QIDQ2517993

A. V. Subbotin

Publication date: 12 January 2009

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434608030152

zbMATH Keywords

linear isometryholomorphic functionLebesgue measureHardy classpolydiskprivalov classprobability measure of several variables

Mathematics Subject Classification ID

Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37)

Related Items (2)

Bounded subsets of classes \(M^p(X)\) of holomorphic functions ⋮ Multiplicative isometries on classes \(M^p(X)\) of holomorphic functions

Cites Work

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• Maximal functions of plurisubharmonic functions
• Isometries of Hsup(infinity)
• Isometries of some \(F\)-algebras of holomorphic functions
• Integral representation of some functions related to the gamma function
• Metric spaces and completely monontone functions
• On the boundary behavior of functions holomorphic on the ball
• The Isometries of H^p

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