11 papers
Equivalent norms and -transform of matrix-weighted anisotropic Besov-type and Triebel-Lizorkin-type spaces
Tengfei Bai, Pengfei Guo, Jingshi Xu
We introduce matrix-weighted anisotropic Besov-type and Triebel-Lizorkin-type spaces associated with an expansive matrix . Inspired by the $\A_p$-dimensions of matrix weight of…
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…
On the mixed Bourgain-Morrey spaces
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…
On matrix weighted Bourgain-Morrey Triebel-Lizorkin spaces
Tengfei Bai, Pengfei Guo, Jingshi Xu
We introduce the homogeneous (inhomogeneous) matrix weighted Bourgain-Morrey Triebel-Lizorkin spaces and obtain their equivalent norms. We also obtain their characterizations by Pe…
Weighted Bourgain-Morrey-Besov type and Triebel-Lizorkin type spaces associated with operators
Tengfei Bai, Pengfei Guo, Jingshi Xu
Let be a space of homogeneous type satisfying , the doubling property and the reverse doubling condition. Let be a nonnegative self-adjoint operator on $L…
Bourgain-Morrey-Lorentz spaces and operators on them
Tengfei Bai, Pengfei Guo, Jingshi Xu
We introduce Bourgain-Morrey-Lorentz spaces and give a description of the predual of Bourgain-Morrey-Lorentz spaces via the block spaces. As an application of duality, we obtain th…
The preduals of Banach space valued Bourgain-Morrey spaces
Tengfei Bai, Pengfei Guo, Jingshi Xu
Let be a Banach space such that there exists a Banach space and . In this paper, we introduce -valued Bourgain-Morrey spaces. We show that…
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…
Embedding and Duality of Matrix-Weighted Modulation Spaces
Shengrong Wang, Pengfei Guo, Jingshi Xu
In this paper, we give a approximation characterization, embedding properties and the duality of matrix weighted modulation spaces.