5 citations · 5 across the 9 of their papers we have counts for
10 papers
Preduals of weighted homogeneous Bourgain-Morrey Besov-Triebel-Lizorkin 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…
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…
Precompactness in matrix weighted Bourgain-Morrey spaces
Tengfei Bai, Jingshi Xu
In this paper, we introduce matrix weighted Bourgain-Morrey spaces and obtain two sufficient conditions for precompact sets in matrix weighted Bourgain-Morrey spaces. We prove that…
New fractional type weights and the boundedness of some operators
Xi Cen, Qianjun He, Zichen Song +1
Two classes of fractional type variable weights are established in this paper. The first kind of weights are variable multiple weights, which are…