Net spaces and boundedness of integral operators

Autor:	Nursultanov, Erlan, Tikhonov, Sergey Yu., Centre de Recerca Matemàtica
Rok vydání:	2021
Předmět:	Operadors integrals Lorentz Espais de
Zdroj:	Recercat: Dipósit de la Recerca de Catalunya Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) Recercat. Dipósit de la Recerca de Catalunya instname Dipòsit Digital de Documents de la UAB Universitat Autònoma de Barcelona
Popis:	In this paper we introduce new functional spaces which we call the net spaces. Using their properties, the necessary and sufficient conditions for the integral operators to be of strong or weak-type are obtained. The estimates of the norm of the convolution operator in weighted Lebesgue spaces are presented.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::1b3aa964f685dd9435092ece3841a06c http://hdl.handle.net/2072/418775 Zobrazit plný text záznamu