Calderón-Zygmund operators and unconditional bases of weighted Hardy spaces

García-Cuerva, J.; Kazarian, K.

Studia Mathematica, Tome 108 (1994), p. 255-276 / Harvested from The Polish Digital Mathematics Library

Résumé

We study sufficient conditions on the weight w, in terms of membership in the $A_{p}$ classes, for the spline wavelet systems to be unconditional bases of the weighted space $H^{p} (w)$ . The main tool to obtain these results is a very simple theory of regular Calderón-Zygmund operators.

Publié le : 1994-01-01

Zbl 0824.42011

EUDML-ID : urn:eudml:doc:216073

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     author = {J. Garc\'\i a-Cuerva and K. Kazarian},
     title = {Calder\'on-Zygmund operators and unconditional bases of weighted Hardy spaces},
     journal = {Studia Mathematica},
     volume = {108},
     year = {1994},
     pages = {255-276},
     zbl = {0824.42011},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv109i3p255bwm}
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García-Cuerva, J.; Kazarian, K. Calderón-Zygmund operators and unconditional bases of weighted Hardy spaces. Studia Mathematica, Tome 108 (1994) pp. 255-276. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv109i3p255bwm/

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