Download Littlewood-Paley theory on spaces of homogeneous type by Y. S. Han, Eric T. Sawyer PDF

April 4, 2017 | Science Mathematics | By admin | 0 Comments

By Y. S. Han, Eric T. Sawyer

During this paintings, Han and Sawyer expand Littlewood-Paley thought, Besov areas, and Triebel-Lizorkin areas to the overall environment of an area of homogeneous variety. For this goal, they identify an appropriate analogue of the Calderon reproducing formulation and use it to increase classical effects on atomic decomposition, interpolation, and T1 and Tb theorems. a few new ends up in the classical atmosphere also are bought: atomic decompositions with vanishing b-moment, and Littlewood-Paley characterizations of Besov and Triebel-Lizorkin areas with basically part the standard smoothness and cancellation stipulations at the approximate identification.

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