ON EQUIVALENCE OF SUPER LOG SOBOLEV AND NASH TYPE INEQUALITIESReportar como inadecuado




ON EQUIVALENCE OF SUPER LOG SOBOLEV AND NASH TYPE INEQUALITIES - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

* Corresponding author 1 DIPARTIMENTO DI MATEMATICA - Dipartimento di Matematica 2 MAPMO - Mathématiques - Analyse, Probabilités, Modélisation - Orléans

Abstract : We prove the equivalence of Nash type and super logSobolev inequalities for Dirichlet forms. We also show that both inequalities are equivalent to Orlicz-Sobolev type inequalities. No ultracontractivity of the semigroup is assumed. It is known that there is no equivalence be- tween super log Sobolev or Nash type inequalities and ultracontractiv- ity. We discuss Davies-Simon’s counterexample as borderline case of this equivalence and related open problems.

Keywords : Orlicz-Sobolev inequality sub-markovian semigroup Nash-type inequality Logarithmic Sobolev inequalities





Autor: Marco Biroli - Patrick Maheux -

Fuente: https://hal.archives-ouvertes.fr/



DESCARGAR PDF




Documentos relacionados