Growth properties for modified Poisson integrals in a half space.

DOI10.2140/PJM.2003.212.333zbMath1056.31004OpenAlexW2005264658MaRDI QIDQ1880112

Tetsu Shimomura, Yoshihiro Mizuta

Publication date: 17 September 2004

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2003.212.333

zbMATH Keywords

exceptional setgrowth propertymodified Poisson integralboundary limit.

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items (8)

Asymptotic behavior of fractional Laplacians in the half space ⋮ Asymptotic behavior for a class of modified \(\alpha \)-potentials in a half space ⋮ Derivation of specific solutions and asymptotic analysis for the cylindrical Dirichlet problem ⋮ Explicit solutions of the Dirichlet-Schrödinger problem via the new cylindrical Poisson-Schrödinger kernel method ⋮ Nontangential limits for modified Poisson integrals of boundary functions in a cone ⋮ Cylindrical Poisson kernel method and its applications ⋮ Growth estimates for modified Green potentials in the upper-half space ⋮ On generalizations of Fatou's theorem in \(L^p\) for convolution integrals with general kernels

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