Abstract
Using the characterizations of \(B_{p, q}^{s, \tau }({\mathbb{R}}^ n)\) by atoms and molecules obtained in Chap.3, in this chapter, for certain p, q, s τ, we establish characterizations of \(A_{p, q}^{s, \tau }({\mathbb{R}}^ n)\) by wavelets, differences and oscillations (local approximation by polynomials). In addition we consider a localization property of \(A_{p, q}^{s, \tau }({\mathbb{R}}^n)\) by using \(A_{p, q}^{s}({\mathbb{R}}^ n)\).
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Yuan, W., Sickel, W., Yang, D. (2011). Several Equivalent Characterizations. In: Morrey and Campanato Meet Besov, Lizorkin and Triebel. Lecture Notes in Mathematics(), vol 2005. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14606-0_4
Download citation
DOI: https://doi.org/10.1007/978-3-642-14606-0_4
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-14605-3
Online ISBN: 978-3-642-14606-0
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)