Hardy Spaces Associated to Non-Negative Self-Adjoint Operators Satisfying Davies-Gaffney Estimates (Memoirs of the American Mathematical Society)

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

ISBN 10: 0821852388 / ISBN 13: 9780821852385

Editore: Amer Mathematical Society, 2011

former x library 2001 paperback Vol 214 No. 1007 withdrawn stamp in book/ on top edge of pages clean text 78 pages{{{ K-19. Codice articolo 0816QUCDGPJ

Riassunto:

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.

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Titolo: Hardy Spaces Associated to Non-Negative ...
Casa editrice: Amer Mathematical Society
Data di pubblicazione: 2011
Legatura: Brossura
Condizione: Used: Good