7 papers · 1 filter
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…