Geodesic
Non-smooth atomic decompositions of anisotropic function spaces and some applications
Susana D. Moura1 ; Iwona Piotrowska2 ; Mariusz Piotrowski3
1Department of Mathematics University of Coimbra Apartado 3008 3001-454 Coimbra, Portugal
2Mathematical Institute Friedrich-Schiller-University Jena D-07737 Jena, Germany
3Faculty of Mathematics University of Vienna Nordbergstrasse 15 1090 Wien, Austria
Studia Mathematica, Tome 180 (2007) no. 2, pp. 169-190
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/sm180-2-6
Keywords: main purpose present paper extend theory non smooth atomic decompositions anisotropic function spaces besov triebel lizorkin type moreover detailed analysis anisotropic homogeneity property carried out present results pointwise multipliers special anisotropic function spaces

Susana D. Moura  1   ; Iwona Piotrowska  2   ; Mariusz Piotrowski  3

1 Department of Mathematics University of Coimbra Apartado 3008 3001-454 Coimbra, Portugal
2 Mathematical Institute Friedrich-Schiller-University Jena D-07737 Jena, Germany
3 Faculty of Mathematics University of Vienna Nordbergstrasse 15 1090 Wien, Austria 
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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 180 (2007) no. 2, pp. 169-190. doi: 10.4064/sm180-2-6

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