Fatou theorems and maximal functions for eigenfunctions of the Laplace-Beltrami operator in a bidisk.

DOI10.1515/crll.1983.345.93zbMath0512.43005OpenAlexW124299424MaRDI QIDQ4751166

Peter Sjögren

Publication date: 1983

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002200902

zbMATH Keywords

maximal functionMartin boundaryPoisson integralPoisson kernelkernelbidiskgeodesic curvesnormalized eigenfunction

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Boundary behavior of harmonic functions in higher dimensions (31B25) Potential theory on Riemannian manifolds and other spaces (31C12)

Related Items (6)

A counterexample to a weak-type estimate for potential spaces and tangential approach regions ⋮ Pointwise convergence of Fejér type means ⋮ A note on maximal functions on a solvable Lie group ⋮ Multiparameter Maximal Functions Along Dilation-Invariant Hypersurfaces ⋮ Unnamed Item ⋮ A Fatou theorem for eigenfunctions of the Laplace-Beltrami operator in a symmetric space

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