A unified approach for Littlewood-Paley decomposition of abstract Besov spaces

Mayeli, Azita

doi:10.1090/proc/12485

A unified approach for Littlewood-Paley decomposition of abstract Besov spaces
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Proc. Amer. Math. Soc. 144 (2016), 1021-1028 Request permission

Abstract:

We apply spectral theoretic methods to obtain a Littlewood-Paley decomposition of abstract inhomogeneous Besov spaces in terms of “smooth” and “bandlimited” functions. Well-known decompositions in several contexts are shown as special examples and are unified under the spectral theoretic approach.

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