4 papers
Mixed Bourgain-Morrey spaces and their applications to boundedness of operators
Tengfei Bai, Pengfei Guo, Jingshi Xu
We introduce the mixed Bourgain-Morrey spaces and obtain their preduals. The boundedness of Hardy-Littlewood maximal operator, iterated maximal operator, fractional integral operat…
The Weighted Grand Herz-Morrey-Lizorkin-Triebel Spaces with Variable Exponents
Shengrong Wang, Pengfei Guo, Jingshi Xu
Let a vector-valued sublinear operator satisfy the size condition and be bounded on weighted Lebesgue spaces with variable exponent. Then we obtain its boundedness on weighted gran…
The Commutators of -dimensional Rough Fractional Hardy Operators on Two Weighted Grand Herz-Morrey Spaces with Variable Exponents
Shengrong Wang, Pengfei Guo, Jingshi Xu
In this paper, we obtain the boundedness of th order commutators generated by the -dimensional fractional Hardy operator with rough kernel and its adjoint operator with BMO f…
Precompact Sets in Matrix Weighted Lebesgue Spaces with Variable Exponent
Shengrong Wang, Pengfei Guo, Jingshi Xu
In this paper, we first give a sufficiently condition for precompactness in the matrix-weighted Lebesgue spaces with variable exponent by translation operator. Then we obtain a cri…