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Anisotropic Two-Microlocal Spaces and Regularity
Author
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-17
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We define D - u -anisotropic two-microlocal spaces by decay conditions on anisotropic wavelet coefficients on any D - u -anisotropic wavelet basis of L 2 ( R d ) .
We prove that these spaces allow the characterizing of pointwise anisotropic Hölder regularity.
We also prove an anisotropic wavelet criterion for anisotropic uniform regularity.
We finally prove that both this criterion and anisotropic D - u -two-microlocal spaces are independent of the chosen anisotropic D - u -orthonormal wavelet basis.
American Psychological Association (APA)
Ben Slimane, Mourad. 2014. Anisotropic Two-Microlocal Spaces and Regularity. Journal of Function Spaces،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1040681
Modern Language Association (MLA)
Ben Slimane, Mourad. Anisotropic Two-Microlocal Spaces and Regularity. Journal of Function Spaces No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-1040681
American Medical Association (AMA)
Ben Slimane, Mourad. Anisotropic Two-Microlocal Spaces and Regularity. Journal of Function Spaces. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1040681
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1040681