Boundaries and the Fatou theorem for subelliptic second order operators on solvable Lie groups

DOI10.4064/CM-68-1-121-140zbMath0839.22008OpenAlexW1037529674WikidataQ115217947 ScholiaQ115217947MaRDI QIDQ4764749

Andrzej Hulanicki, Ewa Damek

Publication date: 19 June 1996

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/210285

zbMATH Keywords

maximal functionLie algebranilpotent Lie groupPoisson integralFatou theoremprobability measureboundaryadmissible convergencesolvable Lie groupharmonicsubelliptic operatorAbelian Lie group

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Analysis on real and complex Lie groups (22E30) Boundary value problems on manifolds (58J32) Boundary behavior (theorems of Fatou type, etc.) of harmonic functions in two dimensions (31A20)

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