An Extension Problem and Trace Hardy Inequality for the Sub-Laplacian on H-type Groups

DOI10.1093/IMRN/RNY137zbMath1484.35015arXiv1708.09258OpenAlexW2751478102WikidataQ129748181 ScholiaQ129748181MaRDI QIDQ5015569

Luz Roncal, Sundaram Thangavelu

Publication date: 9 December 2021

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.09258

zbMATH Keywords

fractional powers of the sub-Laplacian

Mathematics Subject Classification ID

Subelliptic equations (35H20) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Fractional partial differential equations (35R11) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

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