Utilize este identificador para referenciar este registo:
http://hdl.handle.net/10773/14981
Título: | Atomic and molecular decompositions in variable exponent 2-microlocal spaces and applications |
Autor: | Almeida, Alexandre Caetano, António |
Palavras-chave: | Variable exponents Besov–Triebel–Lizorkin spaces Atoms and molecules Sobolev embeddings |
Data: | 28-Nov-2015 |
Editora: | Elsevier |
Resumo: | In this article we study atomic and molecular decompositions in 2-microlocal Besov and Triebel–Lizorkin spaces with variable integrability. We show that, in most cases, the convergence implied in such decompositions holds not only in the distributions sense, but also in the function spaces themselves. As an application, we give a simple proof for the denseness of the Schwartz class in such spaces. Some other properties, like Sobolev embeddings, are also obtained via atomic representations. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/14981 |
DOI: | 10.1016/j.jfa.2015.11.010 |
ISSN: | 0022-1236 |
Aparece nas coleções: | CIDMA - Artigos FAAG - Artigos |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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151215_atomic_molecular.pdf | Documento principal | 494.93 kB | Adobe PDF | Ver/Abrir |
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