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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Autor principal:	Takeshi Suguro
Formato:	Artigo
Lenguaje:	Inglês
Publicado:	SpringerOpen 2024-07-01
Colección:	Journal of Inequalities and Applications
Materias:	Logarithmic Sobolev inequality Heisenberg group Heat equation Shannon inequality Uncertainty inequality Sobolev inequality
Acceso en línea:	https://doi.org/10.1186/s13660-024-03174-6
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