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• W2950672282 abstract "Classical and non classical Besov and Triebel-Lizorkin spaces with complete range of indices are developed in the general setting of Dirichlet space with a doubling measure and local scale-invariant Poincar'e inequality. This leads to Heat kernel with small time Gaussian bounds and Holder continuity, which play a central role in this article. Frames with band limited elements of sub-exponential space localization are developed, and frame and heat kernel characterizations of Besov and Triebel-Lizorkin spaces are established. This theory, in particular, allows to develop Besov and Triebel-Lizorkin spaces and their frame and heat kernel characterization in the context of Lie groups, Riemannian manifold, and other settings." @default.
• W2950672282 created "2019-06-27" @default.
• W2950672282 creator A5028081309 @default.
• W2950672282 creator A5078166100 @default.
• W2950672282 date "2015-01-01" @default.
• W2950672282 modified "2023-09-25" @default.
• W2950672282 title "Heat kernel based decomposition of spaces of distributions in the framework of Dirichlet spaces" @default.
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