101 citations · 502 across the 90 of their papers we have counts for
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Pointwise Multipliers for Besov Spaces with Only Logarithmic Smoothness
Ziwei Li, Winfried Sickel, Dachun Yang +1
In this article, we establish a characterization of the set of all pointwise multipliers of Besov spaces wi…
Riesz Transform Characterization of Hardy Spaces Associated with Ball Quasi-Banach Function Spaces
Fan Wang, Dachun Yang, Wen Yuan
Let be a ball quasi-Banach function space satisfying some mild assumptions and the Hardy space associated with . In this article, the authors introduce b…
Maximal Function and Riesz Transform Characterizations of Hardy Spaces Associated with Homogeneous Higher Order Elliptic Operators and Ball Quasi-Banach Function Spaces
Xiaosheng Lin, Dachun Yang, Sibei Yang +1
Let be a homogeneous divergence form higher order elliptic operator with complex bounded measurable coefficients on and a ball quasi-Banach function space on…
A Measure Characterization of Embedding and Extension Domains for Sobolev, Triebel-Lizorkin, and Besov Spaces on Spaces of Homogeneous Type
Ryan Alvarado, Dachun Yang, Wen Yuan
In this article, for an optimal range of the smoothness parameter that depends (quantitatively) on the geometric makeup of the underlying space, the authors identify purely mea…
Optimal Embeddings for Triebel-Lizorkin and Besov Spaces on Quasi-Metric Measure Spaces
Ryan Alvarado, Dachun Yang, Wen Yuan
In this article, via certain lower bound conditions on the measures under consideration, the authors fully characterize the Sobolev embeddings for the scales of Hajłasz-Triebel-Liz…
Pointwise Characterization of Besov and Triebel-Lizorkin Spaces on Spaces of Homogeneous Type
Ryan Alvarado, Fan Wang, Dachun Yang +1
In this article, the authors establish the pointwise characterization of Besov and Triebel-Lizorkin spaces on spaces of homogeneous type via clarifying the relationship among Hajła…
Weak Hardy Spaces Associated with Ball Quasi-Banach Function Spaces on Spaces of Homogeneous Type: Decompositions, Real Interpolation, and Calderón--Zygmund Operators
Jingsong Sun, Dachun Yang, Wen Yuan
Let be a space of homogeneous type in the sense of R. R. Coifman and G. Weiss, and a ball quasi-Banach function space on . In this ar…
Global Gradient Estimates for Dirichlet Problems of Elliptic Operators with a BMO Anti-Symmetric Part
Sibei Yang, Dachun Yang, Wen Yuan
Let and be a bounded NTA domain. In this article, the authors investigate (weighted) global gradient estimates for Dirichlet boundary value problems…