Normal limits, half-spherical means and boundary measures of half-space Poisson integrals

zbMath0466.31010MaRDI QIDQ1155166

David H. Armitage

Publication date: 1981

Published in: Hiroshima Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Poisson integralsigned measureboundary measuremean-valuenormal limithalf-space Poisson integrals

Mathematics Subject Classification ID

Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Boundary behavior of harmonic functions in higher dimensions (31B25) Integral representations, integral operators, integral equations methods in two dimensions (31A10)

Related Items (4)

Boundary growth rates and the size of singular sets for superharmonic functions satisfying a nonlinear inequality ⋮ Boundary multifractal behaviour for harmonic functions in the ball ⋮ Boundary growth rates and exceptional sets for superharmonic functions on the real hyperbolic ball ⋮ Subordination of regular kernels and abelian theorems for quotients

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