Atomic decomposition of harmonic Bergman functions

zbMath1250.31005MaRDI QIDQ455018

Kiyoki Tanaka

Publication date: 4 October 2012

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

Full work available at URL: https://projecteuclid.org/euclid.hmj/1345467067

zbMATH Keywords

atomic decompositionharmonic Bergman space

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Integral representations, integral operators, integral equations methods in higher dimensions (31B10)

Related Items (2)

Harmonic Bergman spaces on the real hyperbolic ball: atomic decomposition, interpolation and inclusion relations ⋮ Banach space structure of weighted Fock-Sobolev spaces

Cites Work

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• Trace ideal criteria for Toeplitz operators
• Toeplitz operators on harmonic Bergman spaces
• Embedding theorems for weighted classes of harmonic and analytic functions
• Estimates of the harmonic Bergman kernel on smooth domains

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