Good-$\lambda $ inequalities for wavelets of compact support
Volume 99 / 2004
Colloquium Mathematicum 99 (2004), 7-18
MSC: 42C40, 42B25.
DOI: 10.4064/cm99-1-2
Abstract
For a wavelet $\psi $ of compact support, we define a square function $S_{\rm w}$ and a maximal function $N{\mit \Lambda }.$ We then obtain the $L_p$ equivalence of these functions for $0< p <\infty $. We show this equivalence by using good-$\lambda $ inequalities.
