descriptionPublicationkeyboard_double_arrow_right Article 14 Sep 2020 English Publisher:Springer Science and Business Media LLCJournal:Journal of Fourier Analysis and Applications, volume 26 (issn: 1069-5869, eissn: 1531-5851,

Authors: Humberto Rafeiro; Stefan Samko;

doi: 10.1007/s00041-020-09778-y

handle: 10400.1/16391

Herz Spaces Meet Morrey Type Spaces and Complementary Morrey Type Spaces

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Abstract

We introduce local and global generalized Herz spaces. As one of the main results we show that Morrey type spaces and complementary Morrey type spaces are included into the scale of these Herz spaces. We also prove the boundedness of a class of sublinear operators in generalized Herz spaces with application to Morrey type spaces and their complementary spaces, based on the mentioned inclusion.

Related Organizations

University of Algarve
Portugal
United Arab Emirates University
United Arab Emirates

Keywords

Singular operators, Herz spaces, Morrey type spaces, Function spaces, Sublinear operators, Maximal function

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