Square-like Functions Generated by a Composite Wavelet Transform
Mediterranean Journal of Mathematics, vol.8, no.4, pp.553-561, 2011 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 8 Issue: 4
- Publication Date: 2011
- Doi Number: 10.1007/s00009-010-0084-6
- Journal Name: Mediterranean Journal of Mathematics
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.553-561
- Keywords: Square functions, wavelet transform, Calderon reproducing formula, semigroup, convolution
- Akdeniz University Affiliated: Yes
Abstract
The classical square functions play important role in Harmonic Analysis and have a very direct connection with L2-estimates and Littlewood-Paley theory. In this paper we introduce a new variant of square-like functions generated by some composite wavelet transform. We establish Calderón-type reproducing formula and then prove L2-boundedness of newly defined square-like functions. © 2010 Springer Basel AG.