Multilinear commutators of Calderon-Zygmund operator on generalized variable exponent Morrey spaces

Ekincioglu I., Keskin C., Serbetci A.

POSITIVITY, cilt.25, sa.4, ss.1551-1567, 2021 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 25 Sayı: 4
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1007/s11117-021-00828-3
  • Dergi Adı: POSITIVITY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, ABI/INFORM, Business Source Elite, Business Source Premier, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.1551-1567
  • Anahtar Kelimeler: Generalized variable exponent Morrey space, Calderon-Zygmund operator, Multilinear commutator, BMO, SINGULAR INTEGRAL-OPERATORS, NONDIVERGENCE ELLIPTIC-EQUATIONS, MAXIMAL OPERATOR, RIESZ-POTENTIALS, LEBESGUE SPACES, BOUNDEDNESS, REGULARITY
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we study the boundedness of multilinear commutators of CalderonZygmund operators Tb on generalized variable exponent Morrey spaces M-p(.),M-phi. Let b = (b(1), ... , b(m)) and b(i) is an element of BMO for i = 1, ... , m. Then the sufficient conditions on the pair (phi 1, phi 2), which ensure the boundedness of the operator T-b from M-p(.),M-phi 1 to M-p(.),M-phi 2, are found.