A converse Fatou theorem on homogeneous spaces

zbMath0671.31007MaRDI QIDQ1119780

Stanton Philipp, David Singman, Bernard A. Mair

Publication date: 1989

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

zbMATH Keywords

heat equationHeisenberg groupintegral representationhomogeneous spaceFatou theoremlocally compactspace of homogeneous typeHausdorff topological groupcompact subgroupalmosteverywhere limitparabolic approach regionsparabolic functionsPoisson-Szegö integralspositive harmonic

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Harmonic, subharmonic, superharmonic functions on other spaces (31C05)

Related Items (1)

Foundations of Fatou theory and a tribute to the work of E. M. Stein on boundary behavior of holomorphic functions

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