Approach regions for the square root of the Poisson kernel and bounded functions

DOI10.1017/S0004972700034183zbMath0903.31002MaRDI QIDQ4354651

Peter Sjögren

Publication date: 17 September 1997

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

zbMATH Keywords

Poisson kernelalmost everywhere convergencePoisson integralsapproach regions\(L^p\) boundary functions

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Harmonic analysis on homogeneous spaces (43A85) Boundary behavior (theorems of Fatou type, etc.) of harmonic functions in two dimensions (31A20)

Related Items (5)

Nontangential limits for modified Poisson integrals of boundary functions in a cone ⋮ 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 ⋮ Approach regions for the square root of the Poisson kernel and boundary functions in certain Orlicz spaces ⋮ Some function spaces on symmetric spaces related to convolution operators

Cites Work

• Convergence for the square root of the Poisson kernel
• A Banach principle for \(L^ \infty\)

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