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arXiv · 1703.06793

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

Azita Mayeli
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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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Azita Mayeli. 2017-03-20. Identification of Besov spaces via Littlewood-Paley-Stein Type g-functions. https://arxiv.org/abs/1703.06793

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