On Fatou-Type Theorems for Non-Radial Kernels.

DOI10.7146/MATH.SCAND.A-12579zbMath0876.31002OpenAlexW2531008100MaRDI QIDQ3130039

Sadahiro Saeki

Publication date: 11 November 1997

Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/167380

zbMATH Keywords

Fatou theoremRadon measurenontangential limitsBorel 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 (6)

On parabolic convergence of positive solutions of the heat equation ⋮ Fatou theorem and its converse for positive eigenfunctions of the Laplace-Beltrami operator on harmonic \textit{NA} groups ⋮ Pointwise convergence of the Calderón reproducing formula ⋮ On generalizations of Fatou's theorem for the integrals with general kernels ⋮ On generalizations of Fatou's theorem in \(L^p\) for convolution integrals with general kernels ⋮ On the pointwise converse of Fatou's theorem for Euclidean and real hyperbolic spaces

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