Wavelet characterization of the pointwise multiplier space $\dot{{X}_{r}$
Gala, Sadek ; Sawano, Yoshihiro
Funct. Approx. Comment. Math., Tome 42 (2010) no. 1, p. 109-116 / Harvested from Project Euclid
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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.
Publié le : 2010-12-15
Classification:  pointwise multiplier,  wavelet decomposition,  42B35,  41A17 
@article{1291903392,
     author = {Gala, Sadek and Sawano, Yoshihiro},
     title = {Wavelet characterization of the pointwise multiplier space $\dot{{X}\_{r}$},
     journal = {Funct. Approx. Comment. Math.},
     volume = {42},
     number = {1},
     year = {2010},
     pages = { 109-116},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1291903392}
}

Gala, Sadek; Sawano, Yoshihiro. Wavelet characterization of the pointwise multiplier space $\dot{{X}_{r}$. Funct. Approx. Comment. Math., Tome 42 (2010) no. 1, pp.  109-116. http://gdmltest.u-ga.fr/item/1291903392/