Coincidence of Variable Exponent Herz Spaces with Variable Exponent Morrey Type Spaces and Boundedness of Sublinear Operators in these Spaces

Humberto Rafeiro, Stefan Samko

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

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

Original languageEnglish
JournalPotential Analysis
DOIs
Publication statusAccepted/In press - 2021

Keywords

  • Function spaces
  • Herz spaces
  • Maximal function
  • Morrey spaces -and variable exponent spaces
  • Singular operators
  • Sublinear operators

ASJC Scopus subject areas

  • Analysis

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