Weighted \(L_ p\)-potential theory on homogeneous groups

DOI10.1007/BF00971091zbMath0787.31012MaRDI QIDQ1204676

Sergei Vodop'yanov

Publication date: 18 March 1993

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

zbMATH Keywords

weighted capacityhomogeneous Lie groupsweighted Hausdorff measure

Mathematics Subject Classification ID

Potentials and capacities on other spaces (31C15) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Other generalizations (nonlinear potential theory, etc.) (31C45)

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Coercive estimates and integral representation formulas on Carnot groups ⋮ Minimal tubes of finite integral curvature ⋮ Integral representations and embedding theorems for functions defined on the Heisenberg groups $\mathbb H^n$ ⋮ Analogs of Korn's inequality on Heisenberg groups ⋮ Analogues of Korn's inequality on Heisenberg groups

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