Abstract
In this paper we study the (Lp(up), Lq(vq)) boundedness of the higher order commutators T ${}_{Ω,α,b}^{m}$ and M ${}_{Ω,α,b}^{m}$ formed by the fractional integral operator TΩ,α, the fractional maximal operator MΩ,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.
Citation
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
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