Equivalent Quasi-Norms of Besov–Triebel–Lizorkin-Type Spaces via Derivatives

Equivalent Quasi-Norms of Besov–Triebel–Lizorkin-Type Spaces via Derivatives In this paper, applying the Peetre maximal function characterizations and the boundedness of Fourier multipliers on Besov-type and Triebel–Lizorkin-type spaces, as well as Besov–Morrey and Triebel–Lizorkin–Morrey spaces, the authors present some equivalent quasi-norms of these spaces in terms of derivatives. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Results in Mathematics Springer Journals

Equivalent Quasi-Norms of Besov–Triebel–Lizorkin-Type Spaces via Derivatives

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Publisher
Springer Journals
Copyright
Copyright © 2017 by Springer International Publishing
Subject
Mathematics; Mathematics, general
ISSN
1422-6383
eISSN
1420-9012
D.O.I.
10.1007/s00025-017-0684-6
Publisher site
See Article on Publisher Site

Abstract

In this paper, applying the Peetre maximal function characterizations and the boundedness of Fourier multipliers on Besov-type and Triebel–Lizorkin-type spaces, as well as Besov–Morrey and Triebel–Lizorkin–Morrey spaces, the authors present some equivalent quasi-norms of these spaces in terms of derivatives.

Journal

Results in MathematicsSpringer Journals

Published: May 8, 2017

References

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