An improvement to the John-Nirenberg inequality for functions in critical Sobolev spaces

Autor:	Martínez Ángel D., Spector Daniel
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	riesz potentials critical sobolev embedding hausdorff content 46e35 42b37 Analysis QA299.6-433
Zdroj:	Advances in Nonlinear Analysis, Vol 10, Iss 1, Pp 877-894 (2020)
Druh dokumentu:	article
ISSN:	2191-9496 2191-950X
DOI:	10.1515/anona-2020-0157
Popis:	It is known that functions in a Sobolev space with critical exponent embed into the space of functions of bounded mean oscillation, and therefore satisfy the John-Nirenberg inequality and a corresponding exponential integrability estimate. While these inequalities are optimal for general functions of bounded mean oscillation, the main result of this paper is an improvement for functions in a class of critical Sobolev spaces. Precisely, we prove the inequality
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/279dc17acadf4f25b38021512a7e4c98 Zobrazit plný text záznamu View record in DOAJ