A unified approach for Littlewood-Paley Decomposition of Abstract Besov Spaces
arXiv:1703.06773
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
8 pages, accepted in Proceedings of the American Mathematical Society