Herz Spaces Meet Morrey Type Spaces and Complementary Morrey Type Spaces

Humberto Rafeiro, Stefan Samko

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

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.

Original languageEnglish
Article number74
JournalJournal of Fourier Analysis and Applications
Volume26
Issue number5
DOIs
Publication statusPublished - Oct 1 2020

Keywords

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

ASJC Scopus subject areas

  • Analysis
  • Mathematics(all)
  • Applied Mathematics

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