Harmonic Besov spaces with small exponents

DOI10.1080/17476933.2019.1652277zbMath1436.31013arXiv1808.01451OpenAlexW3099372098WikidataQ127389820 ScholiaQ127389820MaRDI QIDQ5222649

Ömer Faruk Doğan

Publication date: 6 April 2020

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.01451

zbMATH Keywords

atomic decompositiondualityharmonic Bloch spaceharmonic Besov spaceboundary growth

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (5)

A Hardy-Littlewood type theorem for harmonic Bergman-Orlicz spaces and applications ⋮ A class of integral operators from Lebesgue spaces into harmonic Bergman-Besov or weighted Bloch spaces ⋮ Kelvin-Möbius-invariant harmonic function spaces on the real unit ball ⋮ Inclusion relations between harmonic Bergman-Besov and weighted Bloch spaces on the unit ball ⋮ Positive Toeplitz operators from a harmonic Bergman-Besov space into another

Cites Work

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• \(H^p\) spaces of several variables
• Harmonic Function Theory
• Harmonic Besov spaces on the ball
• Theory of Bergman Spaces in the Unit Ball of C^n
• Spaces of Holomorphic Functions in the Unit Ball
• Subharmonic Behaviour of ‖H | ^p (p > 0, h HARMONIC)
• Inclusion relations between harmonic Bergman-Besov and weighted Bloch spaces on the unit ball
• Derivatives of harmonic Bergman and Bloch functions on the ball

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