The logarithmic Sobolev inequality on the Heisenberg group and applications to the uncertainty inequality and heat equation

DOI10.1186/s13660-024-03174-6zbMath1546.35007MaRDI QIDQ6609639

Takeshi Suguro

Publication date: 24 September 2024

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

heat equationHeisenberg grouplogarithmic Sobolev inequalitySobolev inequalityuncertainty inequalityShannon inequality

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) Sobolev (and similar kinds of) spaces of functions on metric spaces; analysis on metric spaces (46E36)

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