Tengfei Bai

collaborators

5 papers

math.FA2025

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…

math.FA2025

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…

math.FA2025

Weighted Bourgain-Morrey-Besov type and Triebel-Lizorkin type spaces associated with operators

Tengfei Bai, Pengfei Guo, Jingshi Xu

Let $(X, μ)$ be a space of homogeneous type satisfying $μ (X) = \infty$ , the doubling property and the reverse doubling condition. Let $L$ be a nonnegative self-adjoint operator on $L…

math.FA2025

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…

math.FA2025

The preduals of Banach space valued Bourgain-Morrey spaces

Tengfei Bai, Pengfei Guo, Jingshi Xu

Let $X$ be a Banach space such that there exists a Banach space $^{*} X$ and $(^{*} X)^{*} = X$ . In this paper, we introduce $X$ -valued Bourgain-Morrey spaces. We show that…