Convolution inequalities in Lorentz spaces

Autor:	Nursultanov, Erlan, Tikhonov, Sergey Yu., Universitat Autònoma de Barcelona. Centre de Recerca Matemàtica
Jazyk:	angličtina
Rok vydání:	2008
Předmět:	Physics::General Physics Lorentz Espais de Physics::Classical Physics Funcions Teoria de
Zdroj:	Dipòsit Digital de Documents de la UAB Universitat Autònoma de Barcelona Recercat. Dipósit de la Recerca de Catalunya instname Recercat: Dipósit de la Recerca de Catalunya Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Popis:	In this paper we study boundedness of the convolution operator in different Lorentz spaces. In particular, we obtain the limit case of the Young-O'Neil inequality in the classical Lorentz spaces. We also investigate the convolution operator in the weighted Lorentz spaces. Finally, norm inequalities for the potential operator are presented.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::101a527d483f09e66e41f7204387a8be https://ddd.uab.cat/record/44109 Zobrazit plný text záznamu