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

Abstract We consider the logarithmic Sobolev inequality on the Heisenberg group. One can derive the logarithmic Sobolev inequality from the Sobolev inequality, and we consider an application to the uncertainty inequality on the Heisenberg group. Moreover, one can also obtain a dissipative estimate o...

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Hovedforfatter: Takeshi Suguro
Format: Artigo
Sprog:Inglês
Udgivet: SpringerOpen 2024-07-01
Serier:Journal of Inequalities and Applications
Fag:
Logarithmic Sobolev inequality
Heisenberg group
Heat equation
Shannon inequality
Uncertainty inequality
Sobolev inequality
Online adgang:https://doi.org/10.1186/s13660-024-03174-6
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