New Classes of Weighted Holder-Zygmund Spaces and the Wavelet Transform

作者:Pilipovic Stevan; Rakic Dusan*; Vindas Jasson
来源:Journal of Function Spaces and Applications, 2012, 815475.
DOI:10.1155/2012/815475

摘要

We provide a new and elementary proof of the continuity theorem for the wavelet and left-inverse wavelet transforms on the spaces S-0 (R-n) and S (Hn+1). We then introduce and study a new class of weighted Holder-Zygmund spaces, where the weights are regularly varying functions. The analysis of these spaces is carried out via the wavelet transform and generalized Littlewood-Paley pairs.

  • 出版日期2012