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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