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math.FA2026
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…
math.FA2026
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…
math.FA2026
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…