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Identification of Besov spaces via Littlewood-Paley-Stein Type g-functions

Published 20 Mar 2017 in math.FA, math.RT, and math.SP | (1703.06793v1)

Abstract: We use Littlewood-Paley-Stein type g-functions (also called generalized square functions) associated to symmetric diffusion semigroups to obtain a characterization of inhomogeneous abstract Besov spaces on the abstract Hilbert spaces. Then we apply our results for the abstract Besov spaces defined through the Poisson and Gauss-Weierstrass semigroups.

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