On Hardy Inequality in Variable Lebesgue Spaces with Mixed Norm

Bandaliyev R. A., ŞERBETÇİ A., Hasanov S. G.

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, vol.49, no.4, pp.765-782, 2018 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 49 Issue: 4
  • Publication Date: 2018
  • Doi Number: 10.1007/s13226-018-0300-9
  • Journal Name: INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.765-782
  • Keywords: Two-dimensional Hardy operator, weight functions, boundedness, variable Lebesgue spaces with mixed norm, BANACH FUNCTION-SPACES, STRUCTURAL-PROPERTIES, BOUNDEDNESS, OPERATOR, EQUATION
  • Ankara University Affiliated: Yes

Abstract

In this paper a two-weight boundedness of multidimensional Hardy operator and its dual operator acting from one weighted variable Lebesgue spaces with mixed norm into other weighted variable Lebesgue spaces with mixed norm spaces is proved. In particular, a new type two-weight criterion for multidimensional Hardy operator is obtained.