Relative Nash-type and $L^2$-Sobolev inequalities for Dunkl operators and applications

Autor:	Mustapha, S., Sifi, M.
Rok vydání:	2020
Předmět:	Mathematics - Classical Analysis and ODEs 35A23 26D10 (Primary ) 35J05 35K08 (Secondary)
Druh dokumentu:	Working Paper
Popis:	We investigate local variants of Nash inequalities in the context of Dunkl operators. Pseudo-Poincar\'e inequalities are first established using pointwise gradient estimates of the Dunkl heat kernel. These inequalities allow to obtain relative Nash-type inequalities which are used to derive mean value inequalities for subsolutions of the heat equation on orbits of balls not necessarily centered on the origin. Comment: 17 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2009.03405 Zobrazit plný text záznamu View this record from Arxiv