Smoothness and Function Spaces Generated by Homogeneous Multipliers

Differential operators generated by homogeneous functions ψ of an arbitrary real order s>0 (ψ-derivatives) and related spaces of s-smooth periodic functions of d variables are introduced and systematically studied. The obtained scale is compared with the scales of Besov and Triebel-Lizorkin space...

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Bibliographic Details
Main Authors: Konstantin Runovski, Hans-Jürgen Schmeisser
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2012/643135
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