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Author : Steve Hofmann
Release : 2011
Genre : MATHEMATICS
Kind : eBook
Book Rating : 240/5 ( reviews)
Book Synopsis Hardy Spaces Associated to Non-negative Self-adjoint Operators Satisfying Davies-Gaffney Estimates by : Steve Hofmann
Download or read book Hardy Spaces Associated to Non-negative Self-adjoint Operators Satisfying Davies-Gaffney Estimates written by Steve Hofmann. This book was released on 2011. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Steve Hofmann
Release : 2011
Genre : Mathematics
Kind : eBook
Book Rating : 388/5 ( reviews)
Book Synopsis Hardy Spaces Associated to Non-Negative Self-Adjoint Operators Satisfying Davies-Gaffney Estimates by : Steve Hofmann
Download or read book Hardy Spaces Associated to Non-Negative Self-Adjoint Operators Satisfying Davies-Gaffney Estimates written by Steve Hofmann. This book was released on 2011. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author :
Release :
Genre : Mathematics
Kind : eBook
Book Rating : 52X/5 ( reviews)
Book Synopsis Hardy Spaces Associated to Non-negative Self-adjoint Operators Satisfying Davies-Gaffney Estimates by :
Download or read book Hardy Spaces Associated to Non-negative Self-adjoint Operators Satisfying Davies-Gaffney Estimates written by . This book was released on . Available in PDF, EPUB and Kindle. Book excerpt: "November 2011, volume 214, number 1007 (third of 5 numbers)."
Author : Akram Aldroubi
Release : 2019-11-26
Genre : Mathematics
Kind : eBook
Book Rating : 536/5 ( reviews)
Book Synopsis New Trends in Applied Harmonic Analysis, Volume 2 by : Akram Aldroubi
Download or read book New Trends in Applied Harmonic Analysis, Volume 2 written by Akram Aldroubi. This book was released on 2019-11-26. Available in PDF, EPUB and Kindle. Book excerpt: This contributed volume collects papers based on courses and talks given at the 2017 CIMPA school Harmonic Analysis, Geometric Measure Theory and Applications, which took place at the University of Buenos Aires in August 2017. These articles highlight recent breakthroughs in both harmonic analysis and geometric measure theory, particularly focusing on their impact on image and signal processing. The wide range of expertise present in these articles will help readers contextualize how these breakthroughs have been instrumental in resolving deep theoretical problems. Some topics covered include: Gabor frames Falconer distance problem Hausdorff dimension Sparse inequalities Fractional Brownian motion Fourier analysis in geometric measure theory This volume is ideal for applied and pure mathematicians interested in the areas of image and signal processing. Electrical engineers and statisticians studying these fields will also find this to be a valuable resource.
Author : Pankaj Jain
Release : 2017-10-20
Genre : Mathematics
Kind : eBook
Book Rating : 19X/5 ( reviews)
Book Synopsis Function Spaces and Inequalities by : Pankaj Jain
Download or read book Function Spaces and Inequalities written by Pankaj Jain. This book was released on 2017-10-20. Available in PDF, EPUB and Kindle. Book excerpt: This book features original research and survey articles on the topics of function spaces and inequalities. It focuses on (variable/grand/small) Lebesgue spaces, Orlicz spaces, Lorentz spaces, and Morrey spaces and deals with mapping properties of operators, (weighted) inequalities, pointwise multipliers and interpolation. Moreover, it considers Sobolev–Besov and Triebel–Lizorkin type smoothness spaces. The book includes papers by leading international researchers, presented at the International Conference on Function Spaces and Inequalities, held at the South Asian University, New Delhi, India, on 11–15 December 2015, which focused on recent developments in the theory of spaces with variable exponents. It also offers further investigations concerning Sobolev-type embeddings, discrete inequalities and harmonic analysis. Each chapter is dedicated to a specific topic and written by leading experts, providing an overview of the subject and stimulating future research.
