On some isometries on the Bergman-Privalov class on the unit ball

DOI10.1016/J.NA.2011.10.042zbMath1238.32008OpenAlexW2088777867MaRDI QIDQ412712

Stevo Stević

Publication date: 4 May 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.10.042

zbMATH Keywords

Bergman-Privalov classmultiplicative isometrynonlinear isometry

Mathematics Subject Classification ID

Bergman spaces of functions in several complex variables (32A36) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37)

Related Items (2)

Multiplicative isometries on \(F\)-algebras of holomorphic functions ⋮ Isometries of analytic Besov-type Bergman-Orlicz spaces on the unit disk

Cites Work

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• Weighted composition operators from Bergman-Privalov-type spaces to weighted-type spaces on the unit ball
• Multiplicative isometries on the Smirnov class
• Isometries of Privalov spaces of holomorphic functions of several variables
• Weighted composition operators from the logarithmic weighted-type space to the weighted Bergman space in \(\mathbb C^n\)
• On an integral operator between Bloch-type spaces on the unit ball
• Isometries of some \(F\)-algebras of holomorphic functions
• Isometries of weighted Bergman-Privalov spaces on the unit ball of \(\mathbb{C}^n\)
• Real Characterizations of Function Algebras Amongst Function Spaces
• Boundary Regularity for Harmonic Hardy-Sobolev Spaces
• Isometries of Weighted Bergman Spaces
• Isometries of Bergman Spaces over Bounded Runge Domains
• The Isometries of H^p

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