Non-smooth atomic decompositions of anisotropic function spaces and some applications

• Autorzy: Susana D. Moura , Iwona Piotrowska , Mariusz Piotrowski
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 42B35: Function spaces arising in harmonic analysis
• 46E35: Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems
• 28A80: Fractals

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2007
• Tom: 180
• Numer: 2
• Strony: 169-190

Daty

wydano

2007

Twórcy

autor

Susana D. Moura

• Department of Mathematics, University of Coimbra, Apartado 3008, 3001-454 Coimbra, Portugal

autor

Iwona Piotrowska

• Mathematical Institute, Friedrich-Schiller-University Jena, D-07737 Jena, Germany

autor

Mariusz Piotrowski

• Faculty of Mathematics, University of Vienna, Nordbergstrasse 15, 1090 Wien, Austria

Identyfikatory

DOI

10.4064/sm180-2-6