دانلود کتاب Hardy spaces associated to non-negative self-adjoint operators satisfying Davies-Gaffney estimates

Name: Hardy spaces associated to non-negative self-adjoint operators satisfying Davies-Gaffney estimates
Availability: InStock
Author: Steve Hofmann
ISBN: 0821852388, 9780821852385

by Steve Hofmann

عنوان فارسی: فضاهای هاردی در ارتباط با اپراتورهای خودمحدود غیر منفی که برآوردهای دیویس گفنی را برآورده می کنند
ناشر: American Mathematical Society
سال: 2011
زبان: انگلیسی
تعداد صفحه (نسخه چاپی - نسخه الکترونیکی): 91
شابک: 0821852388, 9780821852385
نوع فایل: PDF دانلود نرم افزار مطالعه
حجم: 0.72 مگابایت

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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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