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math.CA2009★ 1 cited
A Characterization of Hajłasz-Sobolev and Triebel-Lizorkin Spaces via Grand Littlewood-Paley Functions
Pekka Koskela, Dachun Yang, Yuan Zhou
In this paper, we establish the equivalence between the Hajłasz-Sobolev spaces or classical Triebel-Lizorkin spaces and a class of grand Triebel-Lizorkin spaces on Euclidean spaces…
math.CA2009
Radial Maximal Function Characterizations of Hardy Spaces on RD-Spaces and Their Applications
Dachun Yang, Yuan Zhou
Let be an RD-space with , which means that is a space of homogeneous type in the sense of Coifman and Weiss and its measure ha…
math.CA2009★ 10 cited
Localized Morrey-Campanato Spaces on Metric Measure Spaces and Applications to Schrödinger Operators
Dachun Yang, Dongyong Yang, Yuan Zhou
Let be a space of homogeneous type in the sense of Coifman and Weiss and a collection of balls in $\cx$. The authors introduce the localized atomic Ha…