Authors: Stević, Stevo 
Affiliations: Mathematics 
Mathematical Institute of the Serbian Academy of Sciences and Arts 
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
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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