Hardy's inequality for fractional powers of the sublaplacian on the Heisenberg group

DOI10.1016/j.aim.2016.07.010zbMath1348.43011arXiv1508.00714OpenAlexW2962705150MaRDI QIDQ317301

Sundaram Thangavelu, Luz Roncal

Publication date: 30 September 2016

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.00714

zbMATH Keywords

Heisenberg groupintegral representationfundamental solutionuncertainty principlesublaplacianheat semigroupHardy inequalityfractional order operator

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fundamental solutions to PDEs (35A08) Analysis on real and complex Lie groups (22E30) Inequalities for sums, series and integrals (26D15) Analysis on other specific Lie groups (43A80)

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