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The factorizations of via multilinear Calderón-Zygmund operators on weighted Lebesgue spaces
Dinghuai Wang, Rongxiang Zhu, Lisheng Shu
We extend the recently much-studied Hardy factorization theorems to the weight case. The key point of this paper is to establish the factorization theorems without individual condi…
Weak factorizations of the Hardy space in terms of multilinear fractional integral operator
Dinghuai Wang, Rongxiang Zhu
We give a constructive proof of the factorization theorem for the classical Hardy space in terms of fractional integral operator. Moreover, the result is extended to the multilinea…
Characterization of CMO via compactness of the commutators of bilinear fractional integral operators
Dinghuai Wang, Jiang Zhou, Wenyi Chen
Let be the bilinear fractional integral operator, be a more singular family of bilinear fractional integral operators and . Bényi et al. in \cite{B1} sho…
Another characterizations of Muckenhoupt class
Dinghuai Wang, Jiang Zhou
This manuscript addresses Muckenhoupt weight theory in connection to Morrey and BMO spaces. It is proved that belongs to Muckenhoupt class, if and only if Hardy…