101 citations · 951 across the 150 of their papers we have counts for
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Atomic Characterizations of Weak Martingale Musielak--Orlicz Hardy Spaces and Their Applications
Guangheng Xie, Dachun Yang
Let be a probability space and be a Musielak--Orlicz function. In this article, the authors establish the atomic…
New Martingale Inequalities and Applications to Fourier Analysis
Guangheng Xie, Ferenc Weisz, Dachun Yang +1
Let be a probability space and be a Musielak-Orlicz function. In this article, the authors prove that the Doob max…
New Characterizations of Musielak-Orlicz-Sobolev Spaces via Sharp Ball Averaging Functions
Sibei Yang, Dachun Yang, Wen Yuan
In this article, the authors establish a new characterization of the Musielak--Orlicz--Sobolev space on , which includes the classical Orlicz--Sobolev space, the weig…
Atomic and Maximal Function Characterizations of Musielak-Orlicz-Hardy Spaces Associated to Non-negative Self-adjoint Operators on Spaces of Homogeneous Type
Sibei Yang, Dachun Yang
Let be a metric space with doubling measure and a non-negative self-adjoint operator on whose heat kernels satisfy the Gaussian upper bound est…
The Haar System in Besov-type Spaces
Wen Yuan, Winfried Sickel, Dachun Yang
Some Besov-type spaces can be characterized in terms of the behavior of the Fourier--Haar coefficients. In this article, the authors discuss some nece…
Variable Weak Hardy Spaces Associated with Operators Satisfying Davies-Gaffney Estimates
Ciqiang Zhuo, Dachun Yang
Let be a variable exponent function satisfying the globally log-Hölder continuous condition and a one to one operator of type in $L^2({\mat…