4 citations · 5 across the 7 of their papers we have counts for
6 papers · 1 filter
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 be an ultra-RD-space with upper dimension ; i.e., it is a quasi-ultrametric space of homogeneous type whose measure satisfies an addition…
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 be a ball quasi-Banach function space on the space of homogeneous type satisfying some mild additional assumptions, , and $…
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…
Extension Theorem and Bourgain--Brezis--Mironescu-Type Characterization of Ball Banach Sobolev Spaces on Domains
Chenfeng Zhu, Dachun Yang, Wen Yuan
Let be a bounded -domain with , a ball Banach function space satisfying some extra mild assumpti…
Brezis--Seeger--Van Schaftingen--Yung-Type Characterization of Homogeneous Ball Banach Sobolev Spaces and Its Applications
Chenfeng Zhu, Dachun Yang, Wen Yuan
Let and be a ball Banach function space satisfying some extra mild assumptions. Assume that or $Ω\subset\mathbb{R}…
Generalized Brezis--Van Schaftingen--Yung Formulae and Their Applications in Ball Banach Sobolev Spaces
Chenfeng Zhu, Dachun Yang, Wen Yuan
Let be a ball Banach function space on . In this article, under some mild assumptions about both and the boundedness of the Hardy--Littlewood maximal operator…