Non-smooth atomic decompositions of anisotropic function spaces and some applications
Susana D. Moura ; Iwona Piotrowska ; Mariusz Piotrowski
Studia Mathematica, Tome 178 (2007), p. 169-190 / Harvested from The Polish Digital Mathematics Library
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The main purpose of the present paper is to extend the theory of non-smooth atomic decompositions to anisotropic function spaces of Besov and Triebel-Lizorkin type. Moreover, the detailed analysis of the anisotropic homogeneity property is carried out. We also present some results on pointwise multipliers in special anisotropic function spaces.

Publié le : 2007-01-01
EUDML-ID : urn:eudml:doc:284881 
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Susana D. Moura; Iwona Piotrowska; Mariusz Piotrowski. Non-smooth atomic decompositions of anisotropic function spaces and some applications. Studia Mathematica, Tome 178 (2007) pp. 169-190. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm180-2-6/