Anisotropic Two-Microlocal Spaces and Regularity. (17th August 2014)

• Record Type: Journal Article
• Authors: Ben Slimane, Mourad
• Other Names: Hencl Stanislav Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2014(2014)
• Publication Date: 2014-08-17
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2014/505796
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : We defineD -u -anisotropic two-microlocal spaces by decay conditions on anisotropic wavelet coefficients on anyD -u -anisotropic wavelet basis ofL 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 anisotropicD -u -two-microlocal spaces are independent of the chosen anisotropicD -u -orthonormal wavelet basis.