Non-uniform painless decompositions for anisotropic Besov and Triebel-Lizorkin spaces

In this article we construct affine systems that provide a simultaneous atomic decomposition for a wide class of functional spaces including the Lebesgue spaces Lp(Rd), 1 < p < + ∞. The novelty and difficulty of this construction is that we allow for non-lattice translations.We prove that for...

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Detalles Bibliográficos
Autores principales: Cabrelli, Carlos Alberto, Molter, Ursula Maria, Romero, José Luis
Publicado: 2013
Materias:
Affine systems
Anisotropic function spaces
Besov spaces
Non-uniform atomic decomposition
Triebel-Lizorkin spaces
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00018708_v232_n1_p98_Cabrelli
http://hdl.handle.net/20.500.12110/paper_00018708_v232_n1_p98_Cabrelli
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

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