Multi-directional regularity criteria by wavelets

Journal Article

• رابط المنشور على الويب: http://www.worldscientific.com/doi/abs/10.1142/S0218348X12500223
• المجلة \ الصحيفة: Fractals Complex Geometry, Patterns, and Scaling Nature and Society
• رقم الإصدار السنوي: 20, Nos. 3 & 4 (2012), 245–256.
• الصفحات: 20, Nos. 3 & 4 (2012), 245–256.

مستخلص المنشور

he study of d dimensional traces of functions of m several variables leads to directional behaviors. The purpose of this paper is two-fold. Firstly, we extend the notion of one direction pointwise Hölder regularity introduced by Jaffard to multi-directions. Secondly, we characterize multi-directional pointwise regularity by Triebel anisotropic wavelet coefficients (resp. leaders), and also by Calderón anisotropic continuous wavelet transform.

Read More: http://www.worldscientific.com/doi/abs/10.1142/S0218348X12500223