A unified approach for Littlewood-Paley Decomposition of Abstract Besov Spaces

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 as special examples and are unified under the spectral theoretic approach

arXiv comment8 pages, accepted in Proceedings of the American Mathematical Society