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
Author | : Michael Thoreau Lacey,Xiaochun Li |
Publsiher | : American Mathematical Soc. |
Total Pages | : 87 |
Release | : 2010 |
Genre | : Harmonic analysis |
ISBN | : 9780821845400 |
Download On a Conjecture of E M Stein on the Hilbert Transform on Vector Fields Book in PDF, Epub and Kindle
"Volume 205, number 965 (fourth of 5 numbers)."
Complex Interpolation between Hilbert Banach and Operator Spaces
Author | : Gilles Pisier |
Publsiher | : American Mathematical Soc. |
Total Pages | : 92 |
Release | : 2010-10-07 |
Genre | : Mathematics |
ISBN | : 9780821848425 |
Download Complex Interpolation between Hilbert Banach and Operator Spaces Book in PDF, Epub and Kindle
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
Author | : Duván Cardona |
Publsiher | : Springer Nature |
Total Pages | : 262 |
Release | : 2024 |
Genre | : Electronic Book |
ISBN | : 9783031485794 |
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Robin Functions for Complex Manifolds and Applications
Author | : Kang-Tae Kim,Norman Levenberg,Hiroshi Yamaguchi |
Publsiher | : American Mathematical Soc. |
Total Pages | : 126 |
Release | : 2011 |
Genre | : Complex manifolds |
ISBN | : 9780821849651 |
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"Volume 209, number 984 (third of 5 numbers)."
Centres of Centralizers of Unipotent Elements in Simple Algebraic Groups
Author | : Ross Lawther,Donna M. Testerman |
Publsiher | : American Mathematical Soc. |
Total Pages | : 201 |
Release | : 2011 |
Genre | : Linear algebraic groups |
ISBN | : 9780821847695 |
Download Centres of Centralizers of Unipotent Elements in Simple Algebraic Groups Book in PDF, Epub and Kindle
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.
Second Order Analysis on mathscr P 2 M W 2
Author | : Nicola Gigli |
Publsiher | : American Mathematical Soc. |
Total Pages | : 173 |
Release | : 2012-02-22 |
Genre | : Mathematics |
ISBN | : 9780821853092 |
Download Second Order Analysis on mathscr P 2 M W 2 Book in PDF, Epub and Kindle
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.
On L Packets for Inner Forms of SL n
Author | : Kaoru Hiraga,Hiroshi Saito |
Publsiher | : American Mathematical Soc. |
Total Pages | : 110 |
Release | : 2012 |
Genre | : Linear algebraic groups |
ISBN | : 9780821853641 |
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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 $SL_n$.
Hardy Spaces Associated to Non Negative Self Adjoint Operators Satisfying Davies Gaffney Estimates
Author | : Steve Hofmann |
Publsiher | : American Mathematical Soc. |
Total Pages | : 91 |
Release | : 2011 |
Genre | : Hardy spaces |
ISBN | : 9780821852385 |
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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.