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

Show full item record

SCOPUSTM   
Citations

1
checked on Jul 12, 2024

Page view(s)

44
checked on May 9, 2024

Google ScholarTM

Check

Altmetric

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.