Directional Multifractal Analysis in the Lp Setting
Joint Authors
Ben Slimane, Mourad
Ben Omrane, Ines
Ben Abid, Moez
Halouani, Borhen
Alshormani, Farouq
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-07-16
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
The classical Hölder regularity is restricted to locally bounded functions and takes only positive values.
The local Lp regularity covers unbounded functions and negative values.
Nevertheless, it has the same apparent regularity in all directions.
In the present work, we study a recent notion of directional local Lp regularity introduced by Jaffard.
We provide its characterization by a supremum of a wide range oriented anisotropic Triebel wavelet coefficients and leaders.
In addition, we deduce estimates on the Hausdorff dimension of the set of points where the directional local Lp regularity does not exceed a given value.
The obtained results are illustrated by some examples of self-affine cascade functions.
American Psychological Association (APA)
Ben Slimane, Mourad& Ben Omrane, Ines& Ben Abid, Moez& Halouani, Borhen& Alshormani, Farouq. 2019. Directional Multifractal Analysis in the Lp Setting. Journal of Function Spaces،Vol. 2019, no. 2019, pp.1-12.
https://search.emarefa.net/detail/BIM-1174674
Modern Language Association (MLA)
Ben Slimane, Mourad…[et al.]. Directional Multifractal Analysis in the Lp Setting. Journal of Function Spaces No. 2019 (2019), pp.1-12.
https://search.emarefa.net/detail/BIM-1174674
American Medical Association (AMA)
Ben Slimane, Mourad& Ben Omrane, Ines& Ben Abid, Moez& Halouani, Borhen& Alshormani, Farouq. Directional Multifractal Analysis in the Lp Setting. Journal of Function Spaces. 2019. Vol. 2019, no. 2019, pp.1-12.
https://search.emarefa.net/detail/BIM-1174674
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1174674
