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 |
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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