Dilation Property of Modulation Spaces and Rigid Factorizations on Lp- Spaces

Abstract

We investigates the types of decompositions for distributions in the homogenous Besov spaces with applications of the results. We study the modulation spaces on Wiener type spaces for a class of Banach spaces of distributions on the locally compact Abelian groups and an algebra of pseudodifferential operators.We show that the operator near completely polynomially dominated operators with finite bounded generalized completely polynomially bounded operators . We discuss the similarity problems and the operator space inequalities for noncommutative Lebesgue spaces.We investigate the time – frequency analysis of certain clases, and the continuity properties for modulation spaces of pseudodifferential calculus. We give the dilation property of modulation spaces and their inclusion relation with Besov spaces, also the bounded properties of pseudodifferential operators and Calderon – Zygmund operators on modulation spaces, with dilations and rigid factorizations on noncommutative Lebesgue spaces .