Hardy Spaces Associated to Non-Negative Self-Adjoint Operators Satisfying Davies-Gaffney Estimates - Couverture souple

Hofmann, Steve; Lu, Guozhen; Mitrea, Dorina; Mitrea, Marius; Yan, Lixin

Couverture souple

ISBN 10 : 0821852388 ISBN 13 : 9780821852385

Editeur : American Mathematical Society, 2011

Synopsis

Let $X$ be a metric space with doubling measure, and $L$ be a non-negative, self-adjoint operator satisfying Davies-Gaffney bounds on $L^2(X)$. In this article the authors present a theory of Hardy and BMO spaces associated to $L$, including an atomic (or molecular) decomposition, square function characterization, and duality of Hardy and BMO spaces. Further specializing to the case that $L$ is a Schrodinger operator on $\mathbb{R}^n$ with a non-negative, locally integrable potential, the authors establish additional characterizations of such Hardy spaces in terms of maximal functions. Finally, they define Hardy spaces $H^p_L(X)$ for $p>1$, which may or may not coincide with the space $L^p(X)$, and show that they interpolate with $H^1_L(X)$ spaces by the complex method.

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 2011
• Langue: anglais
• ISBN 10: 0821852388
• ISBN 13: 9780821852385
• Reliure: Broché
• Nombre de pages: 78
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible