Non-smooth atomic decompositions of anisotropic function spaces and some applications
Volume 180 / 2007
Studia Mathematica 180 (2007), 169-190
MSC: 42B35, 46E35, 28A80.
DOI: 10.4064/sm180-2-6
Abstract
The main purpose of the present paper is to extend the theory of non-smooth atomic decompositions to anisotropic function spaces of Besov and Triebel–Lizorkin type. Moreover, the detailed analysis of the anisotropic homogeneity property is carried out. We also present some results on pointwise multipliers in special anisotropic function spaces.
