Two-weighted norm inequalities of singular integral operators on local Morrey spaces

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2 Citations (Scopus)

Abstract

In this paper, we extend the two-weighted norm inequalities of singular integral operators to local Morrey spaces. This gives the mapping properties of singular integral operators from weighted local Morrey spaces to other local Morrey spaces with different weight. As application of this result, we extend the Córdoba-Fefferman inequalities to weighted local Morrey spaces. Copyright © 2023 Acta Mathematica Universitatis Comenianae.

Original languageEnglish
Pages (from-to)253-261
JournalActa Mathematica Universitatis Comenianae
Volume92
Issue number3
Publication statusPublished - Sept 2023

Citation

Ho, K.-P. (2023). Two-weighted norm inequalities of singular integral operators on local Morrey spaces. Acta Mathematica Universitatis Comenianae, 92(3), 253-261.

Keywords

  • Two-weighted norm inequality
  • Singular integral operators
  • CalderónZygmund operators
  • Local Morrey spaces
  • Córdoba-Fefferman inequalities

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