|Authors:||Stević, Stevo||Affiliations:||Mathematics||Title:||Norm of a multilinear integral operator from product of weighted-type spaces to weighted-type space||Journal:||Mathematical Methods in the Applied Sciences||Issue Date:||1-Sep-2021||Rank:||~M21||ISSN:||01704214||DOI:||10.1002/mma.7794||Abstract:||
We investigate the following multilinear integral operator (Formula presented.) where (Formula presented.) and (Formula presented.) is a continuous kernel function satisfying the condition (Formula presented.) for some functions (Formula presented.), which are continuous, increasing, (Formula presented.), and a function (Formula presented.), from a product of weighted-type spaces to weighted-type spaces of real functions. We calculate the norm of the operator, extending and complementing some results in the literature. We also give an explanation for a relation between integrals of an Lp integrable function and its radialization on (Formula presented.).
|Keywords:||integral operator | multilinear operator | operator norm | radialization of a function | weighted-type space||Publisher:||Wiley|
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