Harmonic Besov spaces on the ball

DOI10.1142/S0129167X16500701zbMath1354.31005MaRDI QIDQ2822020

H. Turgay Kaptanoğlu, Adem Ersin Üreyen, Seçil Gergün

Publication date: 26 September 2016

Published in: International Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Bergman projectionBesov spacesharmonic functions on the ball

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05)

Related Items

Shift operators on harmonic Hilbert function spaces on real balls and von Neumann inequality ⋮ Oscillation of holomorphic Bergman-Besov kernels on the ball ⋮ Reproducing kernels and radial differential operators for holomorphic and harmonic Besov spaces on unit balls: a unified view ⋮ Estimates for harmonic reproducing kernel and Bergman type operators on mixed norm and Besov spaces in the real ball ⋮ On an interpolation problem for the classical weighted harmonic Bergman space ⋮ 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 ⋮ Weighted harmonic Bloch spaces on the ball ⋮ Fractional integration in weighted Lebesgue spaces ⋮ Kelvin-Möbius-invariant harmonic function spaces on the real unit ball ⋮ Harmonic Besov spaces with small exponents ⋮ Inclusion relations between harmonic Bergman-Besov and weighted Bloch spaces on the unit ball ⋮ The harmonic Dirichlet-Besov space and the optimal norm for the Bergman projection ⋮ Boundedness of the orthogonal projection on harmonic Fock spaces ⋮ Positive Toeplitz operators from a harmonic Bergman-Besov space into another ⋮ \(\mathcal{H}\)-harmonic Bergman projection on the real hyperbolic ball ⋮ Möbius-invariant harmonic function spaces on the unit disc

Uses Software

• DLMF

Cites Work

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• WEIGHTED HARMONIC BERGMAN FUNCTIONS ON HALF-SPACES
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