Boundedness of sublinear operators in weighted grand Morrey spaces

V. Kokilashvili, A. Meskhi, H. Rafeiro

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

The boundedness of sublinear integral operators in grand Morrey spaces defined by means of measures generated by the Muckenhoupt weights is established. The operators under consideration involve operators of Harmonic Analysis such as Hardy–Littlewood and fractional maximal operators, Calderoń–Zygmund operators, potential operators etc.

Original languageEnglish
Pages (from-to)664-676
Number of pages13
JournalMathematical Notes
Volume102
Issue number5-6
DOIs
Publication statusPublished - Nov 1 2017
Externally publishedYes

Keywords

  • fractional integrals
  • singular integrals
  • spaces of homogeneous type
  • sublinear operators
  • weighted Morrey spaces
  • weighted inequality

ASJC Scopus subject areas

  • General Mathematics

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