Analysis of some injection bounds for Sobolev spaces by wavelet decomposition (Articolo in rivista)

Type
Label
  • Analysis of some injection bounds for Sobolev spaces by wavelet decomposition (Articolo in rivista) (literal)
Anno
  • 2011-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1016/j.crma.2011.02.015 (literal)
Alternative label
  • Bertoluzza S.; Falletta S. (2011)
    Analysis of some injection bounds for Sobolev spaces by wavelet decomposition
    in Comptes rendus. Mathématique; Elsevier Masson SAS, Issy les Moulineaux (Francia)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Bertoluzza S.; Falletta S. (literal)
Pagina inizio
  • 421 (literal)
Pagina fine
  • 423 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#url
  • http://www.sciencedirect.com/science/article/pii/S1631073X11000628 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 349 (literal)
Rivista
Note
  • Scopu (literal)
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • IMATI-CNR; Dipartimento di Matematica, Politecnico di Torino (literal)
Titolo
  • Analysis of some injection bounds for Sobolev spaces by wavelet decomposition (literal)
Abstract
  • We consider the Sobolev spaces Hs(?) and and the Besov spaces , where ? is a sufficiently regular (see Lemma 2) subdomain of R2. It is well known that for the values of s?[0,1/2) the two Sobolev spaces coincide, with equivalence of the norms, and that the inclusion holds. The Note is concerned with the explicit analysis of the constants appearing in the continuity bounds for the injections and and of their dependence on the regularity s of the spaces. The analysis is carried out by using the wavelet characterization of the corresponding norms. (literal)
  • On considère les espaces de Sobolev Hs(?) et , et l'espace de Besov , ou ? est un domaine suffisamment régulier (voir Lemme 2) de R2. On sait que pour des valeurs de s?[0,1/2) les deux espaces de Sobolev coïncident, avec équivalence des normes, et qu'on a l'inclusion . Cet article donne une analyse explicite des constantes qui apparaissent dans les bornes d'inclusion and et, plus précisément, de leur dépendance du paramètre de régularité s. On utilise pour cela la caractérisation par ondelettes des normes correspondantes. (literal)
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