Riesz means on riemannian manifolds
WebMay 5, 2011 · We consider Schrödinger operators A =−Δ+ V on L p ( M) where M is a complete Riemannian manifold of homogeneous type and V = V + − V − is a signed potential. We study boundedness of Riesz transform type operators \nabla A^ {-\frac {1} {2}} and V ^ {\frac {1} {2}}A^ {-\frac {1} {2}} on L p ( M ). WebSep 30, 2014 · Riesz transforms of the Hodge-de Rham Laplacian on Riemannian manifolds Jocelyn Magniez (IMB) Let be a complete non-compact Riemannian manifold satisfying the doubling volume property. Let be the Hodge-de Rham Laplacian acting on …
Riesz means on riemannian manifolds
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WebApr 9, 2024 · Anal. 52, 48-79 (1983; Zbl 0515.58037)] whether one could extend to a reasonable class of non-compact Riemannian manifolds the L p boundedness of the Riesz transforms that holds in ℝ n . Several ... Webof N-dimensional Riemannian manifolds of the form (Rn i; ) (M i;g), where M i is a closed manifold, equipped with the product metric. The case of greatest interest is when the Euclidean dimensions n iare not all equal. This means that the ends have di erent ‘asymptotic dimension’, and implies that these connected sums are non-doubling spaces.
Webcompact Riemannian manifolds with boundary: Theorem 2. Let m∈ L∞(R) satisfy the above smoothness assumption, then there are constants C p such that m(P)f Lp(M) ≤ C p f … WebDec 13, 2024 · Riesz transforms on a class of non-doubling manifolds II Andrew Hassell, Daniel Nix, Adam Sikora We consider a class of manifolds obtained by taking the …
WebThis means that the ends have different ‘asymptotic dimension’, and implies that the Riemannian manifold M is not a doubling space. We completely describe the range of exponents p for which the Riesz transform on M is a bounded operator on L p (M). WebIn each case the action is transitive, and the isotropy group is conjugate to O(p, q). These spaces are isotropic in the sense that the isotropy group acts transitively on the level sets of the metric in the tangent bundle. Definition 1.2. A complete connected pseudo-Riemannian manifold of constant sectional curvature is called a space form.
WebJun 19, 2024 · Bochner–Riesz Means and K-Functional on Compact Manifolds Dashan Fan & Junyan Zhao Results in Mathematics 76, Article number: 140 ( 2024 ) Cite this article …
WebRIESZ TRANSFORM 3 CONJECTURE 1.1 Let M be a complete Riemannian manifold. There exists Cp such that (1.6) kjr f jkp Cpk11=2 f kp 8f 2 C1 0.M/ if 1 < p 2 or 2 < p < C1 and … bondhus t25 screwdriverWebMar 25, 2024 · The Riesz means operator has been extensively studied in the case of \(\mathbf{R} ^n\) ([6, 7, 13, 27]). The case of Lie groups and Riemannian manifolds of non … bondhus screw holdingWebDOI: 10.4171/JST/134 Corpus ID: 53601034; Riesz means of the counting function of the Laplace operator on compact manifolds of non-positive curvature @article{Mrz2014RieszMO, title={Riesz means of the counting function of the Laplace operator on compact manifolds of non-positive curvature}, author={Kamil Mr{\'o}z and … goal of offsiteWebRecently, in the case of manifolds without boundary, the author and Zelditch [18] proved estimates that imply that for generic metrics on any manifold one has the bounds 2e j ∞ = … goal of ontario human rights codeWebcompact Riemannian manifolds (M, g) of dimension n > 2 with boundary dM and then to use these estimates to prove new estimates for Bochner-Riesz means in this setting as Sogge [19] did for the Dirichlet Laplacian. Here and in the next section we use the geodesic normal coordinates with respect to the boundary. goal of operating systemWebIn Section 2, we rst describe a key motivation behind the Hodge theory for compact, closed, oriented Riemannian manifolds: the observation that the dierential forms that satisfy certain par- tial dierential equations depending on the choice of Riemannian metric (forms in the kernel of the associated Laplacian operator, or harmonic forms) turn out … bondhus valley norwayWebA dichotomy concerning uniform boundedness of Riesz transforms on Riemannian manifolds HTML articles powered by AMS MathViewer by Alex Amenta and Leonardo Tolomeo PDF Proc. Amer. Math. Soc. 147 (2024), 4797-4803 Request permission Abstract: bondhu telecom