Smoothness and Function Spaces Generated by Homogeneous Multipliers
Joint Authors
Runovski, Konstantin
Schmeisser, Hans-Jürgen
Source
Journal of Function Spaces and Applications
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-01-29
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
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 spaces.
Explicit representation formulas for ψ-derivatives are obtained in terms of the Fourier transform of their generators.
Some applications to approximation theory are discussed.
American Psychological Association (APA)
Runovski, Konstantin& Schmeisser, Hans-Jürgen. 2012. Smoothness and Function Spaces Generated by Homogeneous Multipliers. Journal of Function Spaces and Applications،Vol. 2012, no. 2012, pp.1-22.
https://search.emarefa.net/detail/BIM-487662
Modern Language Association (MLA)
Runovski, Konstantin& Schmeisser, Hans-Jürgen. Smoothness and Function Spaces Generated by Homogeneous Multipliers. Journal of Function Spaces and Applications No. 2012 (2012), pp.1-22.
https://search.emarefa.net/detail/BIM-487662
American Medical Association (AMA)
Runovski, Konstantin& Schmeisser, Hans-Jürgen. Smoothness and Function Spaces Generated by Homogeneous Multipliers. Journal of Function Spaces and Applications. 2012. Vol. 2012, no. 2012, pp.1-22.
https://search.emarefa.net/detail/BIM-487662
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-487662