Czasopismo
Tytuł artykułu
Warianty tytułu
Języki publikacji
Abstrakty
A small perturbation method is developed and employed to construct frames with compactly supported elements of small shrinking support for Besov and Triebel-Lizorkin spaces in the general setting of a doubling metric measure space in the presence of a nonnegative self-adjoint operator whose heat kernel has Gaussian localization and the Markov property. This allows one, in particular, to construct compactly supported frames for Besov and Triebel-Lizorkin spaces on the sphere, on the interval with Jacobi weights as well as on Lie groups, Riemannian manifolds, and in various other settings. The compactly supported frames are utilized to introduce atomic Hardy spaces $H^{p}_{A}$ in the general setting of this article.
Słowa kluczowe
Kategorie tematyczne
Czasopismo
Rocznik
Tom
Numer
Strony
115-163
Opis fizyczny
Daty
wydano
2014
Twórcy
autor
- Hamanofim St. 9, Herzelia, Israel
autor
- Laboratoire de Probabilités et Modèles Aléatoires, CNRS-UMR 7599, Université Paris VI et Université Paris VII, rue de Clisson, F-75013 Paris, France
autor
- Department of Mathematics and Statistics, University of Cyprus, 1678 Nicosia, Cyprus
autor
- Department of Mathematics, University of South Carolina, Columbia, SC 29208, U.S.A.
Bibliografia
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_4064-sm225-2-2