Hardy Spaces Associated To Non Negative Self Adjoint Operators Satisfying Davies Gaffney Estimates
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Author | : Steve Hofmann |
Publisher | : |
Total Pages | : 78 |
Release | : 2011 |
Genre | : MATHEMATICS |
ISBN | : 9781470406240 |
Download Hardy Spaces Associated to Non-negative Self-adjoint Operators Satisfying Davies-Gaffney Estimates Book in PDF, Epub and Kindle
Author | : Steve Hofmann |
Publisher | : American Mathematical Soc. |
Total Pages | : 91 |
Release | : 2011 |
Genre | : Mathematics |
ISBN | : 0821852388 |
Download Hardy Spaces Associated to Non-Negative Self-Adjoint Operators Satisfying Davies-Gaffney Estimates Book in PDF, Epub and Kindle
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 | : |
Publisher | : American Mathematical Soc. |
Total Pages | : 91 |
Release | : |
Genre | : Mathematics |
ISBN | : 082188252X |
Download Hardy Spaces Associated to Non-negative Self-adjoint Operators Satisfying Davies-Gaffney Estimates Book in PDF, Epub and Kindle
"November 2011, volume 214, number 1007 (third of 5 numbers)."
Author | : Akram Aldroubi |
Publisher | : Springer Nature |
Total Pages | : 335 |
Release | : 2019-11-26 |
Genre | : Mathematics |
ISBN | : 3030323536 |
Download New Trends in Applied Harmonic Analysis, Volume 2 Book in PDF, Epub and Kindle
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 |
Publisher | : Springer |
Total Pages | : 334 |
Release | : 2017-10-20 |
Genre | : Mathematics |
ISBN | : 981106119X |
Download Function Spaces and Inequalities Book in PDF, Epub and Kindle
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.
Author | : Dachun Yang |
Publisher | : Springer |
Total Pages | : 476 |
Release | : 2017-05-09 |
Genre | : Mathematics |
ISBN | : 331954361X |
Download Real-Variable Theory of Musielak-Orlicz Hardy Spaces Book in PDF, Epub and Kindle
The main purpose of this book is to give a detailed and complete survey of recent progress related to the real-variable theory of Musielak–Orlicz Hardy-type function spaces, and to lay the foundations for further applications. The real-variable theory of function spaces has always been at the core of harmonic analysis. Recently, motivated by certain questions in analysis, some more general Musielak–Orlicz Hardy-type function spaces were introduced. These spaces are defined via growth functions which may vary in both the spatial variable and the growth variable. By selecting special growth functions, the resulting spaces may have subtler and finer structures, which are necessary in order to solve various endpoint or sharp problems. This book is written for graduate students and researchers interested in function spaces and, in particular, Hardy-type spaces.
Author | : Alex Amenta |
Publisher | : American Mathematical Soc. |
Total Pages | : 162 |
Release | : 2018-04-03 |
Genre | : Mathematics |
ISBN | : 1470442507 |
Download Elliptic Boundary Value Problems with Fractional Regularity Data Book in PDF, Epub and Kindle
A co-publication of the AMS and Centre de Recherches Mathématiques In this monograph the authors study the well-posedness of boundary value problems of Dirichlet and Neumann type for elliptic systems on the upper half-space with coefficients independent of the transversal variable and with boundary data in fractional Hardy–Sobolev and Besov spaces. The authors use the so-called “first order approach” which uses minimal assumptions on the coefficients and thus allows for complex coefficients and for systems of equations. This self-contained exposition of the first order approach offers new results with detailed proofs in a clear and accessible way and will become a valuable reference for graduate students and researchers working in partial differential equations and harmonic analysis.
Author | : Aleksandr Sergeevich Kleshchëv |
Publisher | : American Mathematical Soc. |
Total Pages | : 148 |
Release | : 2012 |
Genre | : Mathematics |
ISBN | : 0821874314 |
Download Modular Branching Rules for Projective Representations of Symmetric Groups and Lowering Operators for the Supergroup $Q(n)$ Book in PDF, Epub and Kindle
There are two approaches to projective representation theory of symmetric and alternating groups, which are powerful enough to work for modular representations. One is based on Sergeev duality, which connects projective representation theory of the symmetric group and representation theory of the algebraic supergroup $Q(n)$ via appropriate Schur (super)algebras and Schur functors. The second approach follows the work of Grojnowski for classical affine and cyclotomic Hecke algebras and connects projective representation theory of symmetric groups in characteristic $p$ to the crystal graph of the basic module of the twisted affine Kac-Moody algebra of type $A_{p-1}^{(2)}$. The goal of this work is to connect the two approaches mentioned above and to obtain new branching results for projective representations of symmetric groups.
Author | : Igor Burban |
Publisher | : American Mathematical Soc. |
Total Pages | : 144 |
Release | : 2012 |
Genre | : Mathematics |
ISBN | : 0821872923 |
Download Vector Bundles on Degenerations of Elliptic Curves and Yang-Baxter Equations Book in PDF, Epub and Kindle
"November 2012, volume 220, number 1035 (third of 4 numbers)."
Author | : Theo Bühler |
Publisher | : American Mathematical Soc. |
Total Pages | : 126 |
Release | : 2011 |
Genre | : Mathematics |
ISBN | : 0821853112 |
Download On the Algebraic Foundations of Bounded Cohomology Book in PDF, Epub and Kindle
It is a widespread opinion among experts that (continuous) bounded cohomology cannot be interpreted as a derived functor and that triangulated methods break down. The author proves that this is wrong. He uses the formalism of exact categories and their derived categories in order to construct a classical derived functor on the category of Banach $G$-modules with values in Waelbroeck's abelian category. This gives us an axiomatic characterization of this theory for free, and it is a simple matter to reconstruct the classical semi-normed cohomology spaces out of Waelbroeck's category. The author proves that the derived categories of right bounded and of left bounded complexes of Banach $G$-modules are equivalent to the derived category of two abelian categories (one for each boundedness condition), a consequence of the theory of abstract truncation and hearts of $t$-structures. Moreover, he proves that the derived categories of Banach $G$-modules can be constructed as the homotopy categories of model structures on the categories of chain complexes of Banach $G$-modules, thus proving that the theory fits into yet another standard framework of homological and homotopical algebra.