Chenfeng Zhu

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20242026

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3 papers · 1 filter

math.FA2026

Real-Variable Theory of Hardy--Lorentz Spaces on Quasi-Ultrametric Spaces of Homogeneous Type with Reverse-Doubling Property

Chenfeng Zhu, Ryan Alvarado, Xianjie Yan +2

Let $(X, q, I^¼)$ be an ultra-RD-space with upper dimension $n \in (0, \infty)$ ; i.e., it is a quasi-ultrametric space of homogeneous type whose measure $I^¼$ satisfies an additi…

math.FA2025

Maz'ya--Shaposhnikova Representation of Quasi-Norms of Ball Quasi-Banach Function Spaces on Spaces of Homogeneous Type with Weak Reverse Doubling Property

Eiichi Nakai, Menghao Tang, Dachun Yang +2

Let $Y (X)$ be a ball quasi-Banach function space on the space of homogeneous type $(X, I ¨ , I^¼)$ satisfying some mild additional assumptions, $q \in (0, \infty)$ , and…

math.FA2025

Parabolic Extrapolation and Its Applications to Characterizing Parabolic BMO Spaces via Parabolic Fractional Commutators

Mingming Cao, Weiyi Kong, Dachun Yang +2

In this article, we establish the parabolic version of the celebrated Rubio de Francia extrapolation theorem. As applications, we obtain new characterizations of parabolic BMO-type…