Fatou and littlewood theorems for poisson integrals with respect to non-integrable kernels

DOI10.1080/02781070410001731666zbMath1074.31003OpenAlexW2027086133MaRDI QIDQ4656411

Hiroaki Aikawa

Publication date: 11 March 2005

Published in: Complex Variables, Theory and Application: An International Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02781070410001731666

zbMATH Keywords

Poisson integralFatou theoremapproach regionLittlewood theoremtangential limitnon-integrable kernel

Mathematics Subject Classification ID

Boundary behavior of harmonic functions in higher dimensions (31B25) Boundary behavior (theorems of Fatou type, etc.) of harmonic functions in two dimensions (31A20)

Related Items (4)

On parabolic convergence of positive solutions of the heat equation ⋮ Normality and boundary behaviour of arbitrary and meromorphic functions along simple curves and applications ⋮ Potential theory on minimal hypersurfaces. I: Singularities as Martin boundaries ⋮ On generalizations of Fatou's theorem in \(L^p\) for convolution integrals with general kernels

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