Net spaces and boundedness of integral operators

Autor: Nursultanov, Erlan, Tikhonov, Sergey Yu., Centre de Recerca Matemàtica
Rok vydání: 2021
Předmět:
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
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