Higher order commutators for a class of rough operators

Yong Ding; Shanzhen Lu

doi:10.1007/BF02384827

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Home > Journals > Ark. Mat. > Volume 37 > Issue 1 > Article

March 1999 Higher order commutators for a class of rough operators

Yong Ding, Shanzhen Lu

Author Affiliations +

Yong Ding,¹ Shanzhen Lu¹
¹Department of Mathematics, Beijing Normal University

Ark. Mat. 37(1): 33-44 (March 1999). DOI: 10.1007/BF02384827

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Abstract

In this paper we study the (L^p(u^p), L^q(v^q)) boundedness of the higher order commutators T ${}_{Ω,α,b}^{m}$ and M ${}_{Ω,α,b}^{m}$ formed by the fractional integral operator T_Ω,α, the fractional maximal operator M_Ω,α, and a function b(x) in BMO(v), respectively.

Our results imporve and extend the corresponding results obtained by Segovia and Torrea in 1993 [9].

Funding Statement

The project was supported by NNSF of China.

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Yong Ding. Shanzhen Lu. "Higher order commutators for a class of rough operators." Ark. Mat. 37 (1) 33 - 44, March 1999. https://doi.org/10.1007/BF02384827