Riesz transforms on a class of non-doubling manifolds
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Publication:5234607
DOI10.1080/03605302.2019.1611850zbMath1440.42055arXiv1805.00132OpenAlexW2964295864WikidataQ127736612 ScholiaQ127736612MaRDI QIDQ5234607
Andrew Hassell, Adam S. Sikora
Publication date: 30 September 2019
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1805.00132
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) General theory of partial differential operators (47F05) Elliptic equations on manifolds, general theory (58J05)
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Cites Work
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- Restriction and spectral multiplier theorems on asymptotically conic manifolds
- Resolvent at low energy and Riesz transform for Schrödinger operators on asymptotically conic manifolds. II.
- Analyse sur les groupes de Lie à croissance polynômiale. (Analysis on Lie groups of polynomial growth)
- Harmonic analysis on semigroups
- Surgery of the Faber-Krahn inequality and applications to heat kernel bounds
- Resolvent at low energy and Riesz transform for Schrödinger operators on asymptotically conic manifolds. I.
- Heat kernel on manifolds with ends
- Analysis of the Laplacian on a complete Riemannian manifold
- Comparaison des champs de vecteurs et des puissances du Laplacien sur une variété Riemannienne à courbure non positive
- On the parabolic kernel of the Schrödinger operator
- Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds
- Fonction d'un opérateur elliptique sur une variété compacte
- Multipliers and singular integrals on exponential growth groups
- Symbolic functional calculus and \(N\)-body resolvent estimates
- Heat kernel on connected sums of Riemannian manifolds
- Riesz transform on manifolds with quadratic curvature decay
- Riesz transform, Gaussian bounds and the method of wave equation
- Plancherel-type estimates and sharp spectral multipliers
- Upper bounds of derivatives of the heat kernel on an arbitrary complete manifold
- About Riesz transforms on the Heisenberg groups
- Riesz transforms on connected sums
- Riesz transform and \(L^p\)-cohomology for manifolds with Euclidean ends
- Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
- On the existence of certain singular integrals
- Riesz transform on manifolds and heat kernel regularity
- On necessary and sufficient conditions for 𝐿^{𝑝}-estimates of Riesz transforms associated to elliptic operators on ℝⁿ and related estimates
- A perturbation result for the Riesz transform
- Riesz transforms in one dimension
- Some results in harmonic analysis in 𝐑ⁿ, for 𝐧→∞
- Riesz transforms for $1\le p\le 2$
- Riesz meets Sobolev
- A spectral multiplier theorem for a sublaplacian on SU\((2)\)
- On second-order periodic elliptic operators in divergence form
- Littlewood-Paley theory and the \(T(1)\) theorem with non-doubling measures
