Pointwise estimates for rough operators with applications to Sobolev inequalities

Autor:	Hoang, Cong, Moen, Kabe, Pérez, Carlos
Rok vydání:	2023
Předmět:	Mathematics - Classical Analysis and ODEs
Druh dokumentu:	Working Paper
Popis:	We investigate Sobolev inequalities for several rough operators. We prove that several operators satisfy a pointwise bound by the Riesz potential applied to the gradient. From this inequality, we derive several new Sobolev-type inequalities with an operator on the left-hand side. Comment: v2: typos corrected
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2307.10417 Zobrazit plný text záznamu View this record from Arxiv