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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Váldodahkki:	Takeshi Suguro
Materiálatiipa:	Artigo
Giella:	Inglês
Almmustuhtton:	SpringerOpen 2024-07-01
Ráidu:	Journal of Inequalities and Applications
Fáttát:	Logarithmic Sobolev inequality Heisenberg group Heat equation Shannon inequality Uncertainty inequality Sobolev inequality
Liŋkkat:	https://doi.org/10.1186/s13660-024-03174-6
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