Authors: Stević, Stevo 
Affiliations: Mathematics 
Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Note on norm of an m-linear integral-type operator between weighted-type spaces
Journal: Advances in Difference Equations
Volume: 1
First page: 187
Issue Date: 21-Mar-2021
Rank: ~M21a
ISSN: 1687-1847
DOI: 10.1186/s13662-021-03346-4
Abstract: 
We find a necessary and sufficient condition for the boundedness of an m-linear integral-type operator between weighted-type spaces of functions, and calculate norm of the operator, complementing some results by L. Grafakos and his collaborators. We also present an inequality which explains a detail in the proof of the boundedness of the linear integral-type operator on L (R ) space. p n
Keywords: Locally compact group | m-linear integral-type operator | Operator norm | Weighted-type space
Publisher: Springer Link

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