Open Access
December 2010 Wavelet characterization of the pointwise multiplier space $\dot{{X}_{r}$
Yoshihiro Sawano, Sadek Gala
Funct. Approx. Comment. Math. 43(2): 109-116 (December 2010). DOI: 10.7169/facm/1291903392

Abstract

In the present note we characterize the function space $\dot{X}_{r}$, which is the set of pointwise multipliers which map $L^{2}$ into $\dot{H}^{-r}$. To this end, we use wavelets and capacity.

Citation

Download Citation

Yoshihiro Sawano. Sadek Gala. "Wavelet characterization of the pointwise multiplier space $\dot{{X}_{r}$." Funct. Approx. Comment. Math. 43 (2) 109 - 116, December 2010. https://doi.org/10.7169/facm/1291903392

Information

Published: December 2010
First available in Project Euclid: 9 December 2010

zbMATH: 1213.42081
MathSciNet: MR2767165
Digital Object Identifier: 10.7169/facm/1291903392

Subjects:
Primary: 42B35
Secondary: 41A17

Keywords: pointwise multiplier , wavelet decomposition

Rights: Copyright © 2010 Adam Mickiewicz University

Vol.43 • No. 2 • December 2010
Back to Top