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Fiber-wise Calderón-Zygmund decomposition and application to a bi-dimensional paraproduct
Fiber-wise Calderón-Zygmund decomposition bi-dimensional paraproduct
2010/11/22
We are interested in a new kind of bi-dimensional bilinear paraproducts (appearing in [6]), which do not fit into the setting of bilinear Calder\'on-Zygmund operators. In this paper we propose a fiber...
Littlewood-Paley Decomposition Associated with the Dunkl Operators and Paraproduct Operators
Dunkl operators Littlewood-Paley decomposition Paraproduct
2010/1/22
We define the Littlewood-Paley decomposition associated with the Dunkl operators; from this decomposition we give the characterization of the Sobolev, H鰈der and Lebesgue spaces associated with the Dun...