WEIGHTED HARMONIC BERGMAN FUNCTIONS ON HALF-SPACES

DOI10.4134/JKMS.2005.42.5.975zbMath1136.31003OpenAlexW253638118MaRDI QIDQ5708697

Hyungwoon Koo, HeungSu Yi, Kyesook Nam

Publication date: 21 November 2005

Published in: Journal of the Korean Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4134/jkms.2005.42.5.975

zbMATH Keywords

fractional derivativeupper half-spaceweighted Bergman kernelweighted harmonic Bergman function

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Bergman spaces of functions in several complex variables (32A36)

Related Items (6)

Conjugate functions on spaces of parabolic Bloch type ⋮ Reproducing kernels and radial differential operators for holomorphic and harmonic Besov spaces on unit balls: a unified view ⋮ Representations and interpolations of weighted harmonic Bergman functions ⋮ Double integral characterizations of harmonic Bergman spaces ⋮ Norm estimation of the harmonic Bergman projection on half-spaces ⋮ Harmonic Besov spaces on the ball

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