Atomic, molecular and wavelet decomposition of generalized 2-microlocal Besov spaces
This paper deals with the 2-microlocal Besov spaces previously considered by the author in [Rev. Mat. Complut. 22, 227--251(2009; Zbl 1166.42011)], in that case with variable integrability. The main results refer to the atomic and molecular representations of elements in such a space in the corresponding discrete 2-microlocal Besov space. Also a wavelet decomposition is obtained and used to prove the invariance of these spaces under pseudo-differential operators of order 0.
scientific article; zbMATH DE number 5776297