Sobolev inequalities

We develop a new method to obtain symmetrization inequalities of Sobolev type. Our approach leads to new inequalities and considerable simplification in the theory of embeddings of Sobolev spaces based on rearrangement invariant spaces.

Detalhes bibliográficos
Autores: Martín i Pedret, Joaquim|||0000-0002-7467-787X, Milman, Mario|||0000-0003-3735-8009, Pustylnik, Evgeniy
Formato: artículo
Fecha de publicación:2007
País:España
Recursos:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:271426
Acesso em linha:https://ddd.uab.cat/record/271426
https://dx.doi.org/urn:doi:10.1016/j.jfa.2007.05.017
Access Level:acceso abierto
Palavra-chave:Inequalities
Self-improving
Sobolev
Symmetrization
Truncation
Descrição
Resumo:We develop a new method to obtain symmetrization inequalities of Sobolev type. Our approach leads to new inequalities and considerable simplification in the theory of embeddings of Sobolev spaces based on rearrangement invariant spaces.