Article citationsMore>>

Karlovich, A.Y. and Lerner, A.K. (2005) Commutators of Singular Integrals on Generalized Spaces with Variable Exponent. Publicacions Matemàtiques, 49, 111-125.

has been cited by the following article:

• TITLE: Some Estimates for Commutators of θ-Type Calderón-Zygmund Operator in Variable Exponent Lebesgue Spaces

  AUTHORS: Yitao Gu, Yanqi Yang

  KEYWORDS: θ-Type Calderón-Zygmund Operator, Commutator, Lebesgue Space with Variable Exponent

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.13 No.10, October 28, 2025

  ABSTRACT: In this paper, by applying the extension of Rubio de Francia’s extrapolation theorem in Lebesgue spaces with variable exponent, the boundedness of the θ-type Calderón-Zygmund operator T θ is bounded in variable exponent Lebesgue spaces. In addition, the commutators generated by T θ and Besov, BMO and Lipschitz functions are respectively obtained in L p( ⋅ ) ( ℝ n ) .