On Hardy Inequality in Variable Lebesgue Spaces with Mixed Norm

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

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, cilt.49, sa.4, ss.765-782, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 49 Sayı: 4
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1007/s13226-018-0300-9
  • Dergi Adı: INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.765-782
  • Anahtar Kelimeler: Two-dimensional Hardy operator, weight functions, boundedness, variable Lebesgue spaces with mixed norm, BANACH FUNCTION-SPACES, STRUCTURAL-PROPERTIES, BOUNDEDNESS, OPERATOR, EQUATION
  • Ankara Üniversitesi Adresli: Evet

Özet

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.