On A Conjecture Of E M Stein On The Hilbert Transform On Vector Fields

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On A Conjecture Of E M Stein On The Hilbert Transform On Vector Fields

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Author : Michael Thoreau Lacey
language : en
Publisher: American Mathematical Soc.
Release Date : 2010

On A Conjecture Of E M Stein On The Hilbert Transform On Vector Fields written by Michael Thoreau Lacey and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.

"Volume 205, number 965 (fourth of 5 numbers)."

Complex Interpolation Between Hilbert Banach And Operator Spaces

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Author : Gilles Pisier
language : en
Publisher: American Mathematical Soc.
Release Date : 2010-10-07

Complex Interpolation Between Hilbert Banach And Operator Spaces written by Gilles Pisier and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-10-07 with Mathematics categories.

Motivated by a question of Vincent Lafforgue, the author studies the Banach spaces $X$ satisfying the following property: there is a function $\varepsilon\to \Delta_X(\varepsilon)$ tending to zero with $\varepsilon>0$ such that every operator $T\colon \ L_2\to L_2$ with $\T\\le \varepsilon$ that is simultaneously contractive (i.e., of norm $\le 1$) on $L_1$ and on $L_\infty$ must be of norm $\le \Delta_X(\varepsilon)$ on $L_2(X)$. The author shows that $\Delta_X(\varepsilon) \in O(\varepsilon^\alpha)$ for some $\alpha>0$ iff $X$ is isomorphic to a quotient of a subspace of an ultraproduct of $\theta$-Hilbertian spaces for some $\theta>0$ (see Corollary 6.7), where $\theta$-Hilbertian is meant in a slightly more general sense than in the author's earlier paper (1979).

Extended Abstracts 2021 2022

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Author : Duván Cardona
language : en
Publisher: Springer Nature
Release Date : 2024-02-28

Extended Abstracts 2021 2022 written by Duván Cardona and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-02-28 with Mathematics categories.

This volume presents modern developments in analysis, PDEs and geometric analysis by some of the leading worldwide experts, prominent junior and senior researchers who were invited to be part of the Ghent Analysis & PDE Center Methusalem Seminars from 2021 to 2022. The contributions are from the speakers of the Methusalem Colloquium, Methusalem Junior Seminar and Geometric Analysis Seminar. The volume has two main topics: 1. Analysis and PDEs. The volume presents recent results in fundamental problems for solving partial integro-differential equations in different settings such as Euclidean spaces, manifolds, Banach spaces, and many others. Discussions about the global and local solvability using micro-local and harmonic analysis methods, studies of new techniques and approaches arising from a physical perspective or the mathematical point of view have also been included. Several connected branches arising in this regard are shown. 2. Geometric analysis. The volume presents studies of modern techniques for elliptic and subelliptic PDEs that in recent times have been used to establish new results in differential geometry and differential topology. These topics involve the intrinsic research in microlocal analysis, geometric analysis, and harmonic analysis abroad. Different problems having relevant geometric information for different applications in mathematical physics and other problems of classification have been considered.

Robin Functions For Complex Manifolds And Applications

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Author : Kang-Tae Kim
language : en
Publisher: American Mathematical Soc.
Release Date : 2011

Robin Functions For Complex Manifolds And Applications written by Kang-Tae Kim and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.

"Volume 209, number 984 (third of 5 numbers)."

On L Packets For Inner Forms Of Sl N

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Author : Kaoru Hiraga
language : en
Publisher: American Mathematical Soc.
Release Date : 2012

On L Packets For Inner Forms Of Sl N written by Kaoru Hiraga and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.

The theory of $L$-indistinguishability for inner forms of $SL_2$ has been established in the well-known paper of Labesse and Langlands (L-indistinguishability forSL$(2)$. Canad. J. Math. 31 (1979), no. 4, 726-785). In this memoir, the authors study $L$-indistinguishability for inner forms of $SL_n$ for general $n$. Following the idea of Vogan in (The local Langlands conjecture. Representation theory of groups and algebras, 305-379, Contemp. Math. 145 (1993)), they modify the $S$-group and show that such an $S$-group fits well in the theory of endoscopy for inner forms of $SL_n$.

Jumping Numbers Of A Simple Complete Ideal In A Two Dimensional Regular Local Ring

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Author : Tarmo Järvilehto
language : en
Publisher: American Mathematical Soc.
Release Date : 2011

Jumping Numbers Of A Simple Complete Ideal In A Two Dimensional Regular Local Ring written by Tarmo Järvilehto and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.

The multiplier ideals of an ideal in a regular local ring form a family of ideals parameterized by non-negative rational numbers. As the rational number increases the corresponding multiplier ideal remains unchanged until at some point it gets strictly smaller. A rational number where this kind of diminishing occurs is called a jumping number of the ideal. In this manuscript the author gives an explicit formula for the jumping numbers of a simple complete ideal in a two-dimensional regular local ring. In particular, he obtains a formula for the jumping numbers of an analytically irreducible plane curve. He then shows that the jumping numbers determine the equisingularity class of the curve.

The Internally 4 Connected Binary Matroids With No M K 3 3 Minor

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Author : Dillon Mayhew
language : en
Publisher: American Mathematical Soc.
Release Date : 2010

The Internally 4 Connected Binary Matroids With No M K 3 3 Minor written by Dillon Mayhew and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.

The authors give a characterization of the internally $4$-connected binary matroids that have no minor isomorphic to $M(K_{3,3})$. Any such matroid is either cographic, or is isomorphic to a particular single-element extension of the bond matroid of a cubic or quartic Mobius ladder, or is isomorphic to one of eighteen sporadic matroids.

Hardy Spaces Associated To Non Negative Self Adjoint Operators Satisfying Davies Gaffney Estimates

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Author : Steve Hofmann
language : en
Publisher: American Mathematical Soc.
Release Date : 2011

Hardy Spaces Associated To Non Negative Self Adjoint Operators Satisfying Davies Gaffney Estimates written by Steve Hofmann and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.

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.

Second Order Analysis On Mathscr P 2 M W 2

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Author : Nicola Gigli
language : en
Publisher: American Mathematical Soc.
Release Date : 2012-02-22

Second Order Analysis On Mathscr P 2 M W 2 written by Nicola Gigli and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-02-22 with Mathematics categories.

The author develops a rigorous second order analysis on the space of probability measures on a Riemannian manifold endowed with the quadratic optimal transport distance $W_2$. The discussion includes: definition of covariant derivative, discussion of the problem of existence of parallel transport, calculus of the Riemannian curvature tensor, differentiability of the exponential map and existence of Jacobi fields. This approach does not require any smoothness assumption on the measures considered.

Centres Of Centralizers Of Unipotent Elements In Simple Algebraic Groups

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Author : Ross Lawther
language : en
Publisher: American Mathematical Soc.
Release Date : 2011

Centres Of Centralizers Of Unipotent Elements In Simple Algebraic Groups written by Ross Lawther and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.

Let G be a simple algebraic group defined over an algebraically closed field k whose characteristic is either 0 or a good prime for G, and let uEG be unipotent. The authors study the centralizer CG(u), especially its centre Z(CG(u)). They calculate the Lie algebra of Z(CG(u)), in particular determining its dimension; they prove a succession of theorems of increasing generality, the last of which provides a formula for dim Z(CG(u)) in terms of the labelled diagram associated to the conjugacy class containing u.