by J. Vybiral
Preprint series: 03-13, Reports on Analysis
Abstract: We investigate function spaces with dominating mixed smoothness properties of Besov and Triebel-Lizorkin type. Equivalent quasi-norms in terms of local means are derived. Also theorems on atomic and subatomic decomposition are proved.
Keywords: function spaces, dominating mixex smootness, local means, atomic decompositions, subatomic decompositions