4 papers
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 additi…
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…
Parabolic Muckenhoupt Weights Characterized by Parabolic Fractional Maximal and Integral Operators with Time Lag
Weiyi Kong, Dachun Yang, Wen Yuan +1
In this article, motivated by the regularity theory of the solutions of doubly nonlinear parabolic partial differential equations the authors introduce the off-diagonal two-weight…