GENERALIZED WEIGHTED HARDY OPERATORS AND THEIR COMMUTATORS IN THE LOCAL ”COMPLEMENTARY” GENERALIZED VARIABLE EXPONENT WEIGHTED MORREY SPACES

AYKOL KOCAKUŞAKLI C., Azizova Z., Hasanov J.

JOURNAL OF MATHEMATICAL ANALYSIS, vol.13, 2022 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 13
  • Publication Date: 2022
  • Doi Number: 10.54379/jma-2022-1-2
  • Journal Name: JOURNAL OF MATHEMATICAL ANALYSIS
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Keywords: Local "complementary" generalized variable exponent weighted Morrey spaces, weighted Hardy operator, commutator, BMO, SINGULAR-OPERATORS, INTEGRAL-OPERATORS, BOUNDEDNESS, LEBESGUE
  • Ankara University Affiliated: Yes

Abstract

In this paper we study the boundedness of weighted Hardy operators H-u(alpha) and H-u(alpha) in local "complementary" generalized variable exponent weighted Morrey spaces M-C({0})p(center dot),omega,phi , characterized by variable exponent p(x), a general function omega(r) and a weight phi. We also study the boundedness of the commutators of H-u(alpha) and H-u(alpha) in the spaces M-C({0})p(center dot),omega,phi.