Wiener's criterion in potential theory with applications to nilpotent Lie groups

DOI10.1007/BF01214752zbMath0585.31004OpenAlexW2087182025WikidataQ115393870 ScholiaQ115393870MaRDI QIDQ1071131

Hermann Hueber

Publication date: 1985

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173647

zbMATH Keywords

Heisenberg groupLie groupsWiener criterionthinnessbalayaged functionsP-Brelot space

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Axiomatic potential theory (31D05) Boundary values of solutions to elliptic equations and elliptic systems (35J67) Nilpotent and solvable Lie groups (22E25) Potentials and capacities on other spaces (31C15)

Related Items

The Dirichlet problem for sublaplacians on nilpotent Lie groups - geometric criteria for regularity, John domains for the control distance of diagonal vector fields, Quasiregular maps on Carnot groups, Wiener-type tests from a two-sided Gaussian bound, Unnamed Item, Bounded solutions for a class of semilinear equations on the Heisenberg group

Cites Work

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• Wiener's test for the Brownian motion on the Heisenberg group