Sharp Caffarelli-Kohn-Nirenberg-type inequalities on Carnot groups

DOI10.1515/ans-2019-2065zbMath1450.46021OpenAlexW2981095700WikidataQ127020197 ScholiaQ127020197MaRDI QIDQ2305518

Joshua Flynn

Publication date: 11 March 2020

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2019-2065

zbMATH Keywords

Kelvin transformHeisenberg groupCarnot groupsCaffarelli-Kohn-Nirenberg inequalitiesIwasawa groupsstratified groups

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Partial differential inequalities and systems of partial differential inequalities (35R45) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

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