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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Үндсэн зохиолч:	Takeshi Suguro
Формат:	Artigo
Хэл сонгох:	Inglês
Хэвлэсэн:	SpringerOpen 2024-07-01
Цуврал:	Journal of Inequalities and Applications
Нөхцлүүд:	Logarithmic Sobolev inequality Heisenberg group Heat equation Shannon inequality Uncertainty inequality Sobolev inequality
Онлайн хандалт:	https://doi.org/10.1186/s13660-024-03174-6
Шошгууд:	Шошго нэмэх Шошго байхгүй, Энэхүү баримтыг шошголох эхний хүн болох!