A class of integral operators from Lebesgue spaces into harmonic Bergman-Besov or weighted Bloch spaces

DOI10.15672/hujms.768123zbMath1484.47049arXiv2005.05314OpenAlexW3177285478MaRDI QIDQ5165072

Ömer Faruk Doğan

Publication date: 15 November 2021

Published in: Hacettepe Journal of Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.05314

zbMATH Keywords

integral operatorharmonic Bergman-Besov spaceharmonic Bergman-Besov kernelharmonic Bergman-Besov projectionweighted harmonic Bloch space

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Integral operators (45P05) Integral operators (47G10) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Kernel operators (47B34)

Cites Work

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• Weighted harmonic Bloch spaces on the ball
• Reproducing kernels for harmonic Besov spaces on the ball
• Harmonic Besov spaces on the unit ball in \(\mathbf R^ n\).
• Harmonic Bergman functions on the unit ball in \(\mathbb R^n\)
• Singular integral operators with Bergman-Besov kernels on the ball
• Harmonic Function Theory
• Harmonic Besov spaces on the ball
• Duality on vector-valued weighted harmonic Bergman spaces
• Harmonic Besov spaces with small exponents

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