B−maximal operators, B−singular integral operators and B−Riesz potentials in variable exponent Lorentz spaces

AYKOL KOCAKUŞAKLI C., KAYA E.

Filomat, vol.37, no.17, pp.5765-5774, 2023 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 37 Issue: 17
  • Publication Date: 2023
  • Doi Number: 10.2298/fil2317765a
  • Journal Name: Filomat
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Page Numbers: pp.5765-5774
  • Keywords: B−maximal operator, B−Riesz potential, B−singular operator, Variable exponent Lorentz space, γ−rearrangement
  • Ankara University Affiliated: Yes

Abstract

In this paper, we prove the boundedness of B−maximal operator, B−singular integral operator and B−Riesz potential in the variable exponent Lorentz space (formula presented) As a consequence of the k,+ boundedness of B−Riesz potentials in variable exponent Lorentz spaces, we also obtain that B−fractional maximal operators are bounded in (formula presented).