Riesz transforms on forms and \(L^p\)-Hodge decomposition on complete Riemannian manifolds
From MaRDI portal
Publication:986614
DOI10.4171/RMI/607zbMath1197.53052OpenAlexW1974375331WikidataQ115211886 ScholiaQ115211886MaRDI QIDQ986614
Publication date: 11 August 2010
Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.rmi/1275671309
Brownian motion (60J65) Pseudodifferential and Fourier integral operators on manifolds (58J40) Diffusion processes and stochastic analysis on manifolds (58J65) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
Related Items
Volume growth on manifolds with quadratic curvature decay and its applications ⋮ The foundational inequalities of D. L. Burkholder and some of their ramifications ⋮ On the \(L^{r}\) Hodge theory in complete non compact Riemannian manifolds ⋮ Covariant Riesz transform on differential forms for \(1 < p \leq 2\) ⋮ Gundy-Varopoulos martingale transforms and their projection operators on manifolds and vector bundles ⋮ Martingale transforms and their projection operators on manifolds ⋮ Bellman function and linear dimension-free estimates in a theorem of Bakry ⋮ \(L^p\)-analysis of the Hodge-Dirac operator associated with Witten Laplacians on complete Riemannian manifolds ⋮ Riesz transform via heat kernel and harmonic functions on non-compact manifolds ⋮ Erratum to ``Riesz transforms on forms and \(L^p\)-Hodge decomposition on complete Riemannian manifolds ⋮ On the weak \(L ^{p }\)-Hodge decomposition and Beurling--Ahlfors transforms on complete Riemannian manifolds ⋮ Sharp martingale inequalities and applications to Riesz transforms on manifolds, Lie groups and Gauss space ⋮ Riesz transforms and spectral multipliers of the Hodge-Laguerre operator ⋮ On the strong \(L^p\)-Hodge decomposition over complete Riemannian manifolds ⋮ Analysis of the Hodge Laplacian on the Heisenberg group ⋮ The Calderón-Zygmund inequality and Sobolev spaces on noncompact Riemannian manifolds
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- \(L^ p\) and mean value properties of subharmonic functions on Riemannian manifolds
- The Atiyah-Singer theorems: A probabilistic approach. I: The index theorem
- Sobolev inequalities on forms and \(L^{p,q}\)-cohomology on complete Riemannian manifolds
- Riesz transforms for symmetric diffusion operators on complete Riemannian manifolds
- Quasiconformal 4-manifolds
- \(L^p\)-estimates and existence theorems for the \(\bar \partial\)-operator on complete Kähler manifolds
- On the strong \(L^p\)-Hodge decomposition over complete Riemannian manifolds
- Analysis of the Laplacian on a complete Riemannian manifold
- \(L^ p\) contractive projections and the heat semigroup for differential forms
- Comparaison des champs de vecteurs et des puissances du Laplacien sur une variété Riemannienne à courbure non positive
- Formules de la moyenne, calcul de perturbations et théoremes d'annulation pour les formes harmoniques
- Supersymmetry and Morse theory
- Littlewood-Paley-Stein inequality for a symmetric diffusion
- Sobolev spaces on a Riemannian manifold and their equivalence
- Opérateur de courbure et laplacien des formes différentielles d'une variété riemannienne
- On the heat kernel of a complete Riemannian manifold
- The Littlewood-Paley-Stein inequality on an infinite dimensional manifold
- A martingale study of the Beurling-Ahlfors transform in \(\mathbb{R}^ n\)
- Riesz transforms on compact Lie groups, spheres and Gauss space
- Elliptic partial differential equations of second order
- Quasiregular mappings in even dimensions
- A sharp and strict \(L^ p\)-inequality for stochastic integrals
- On the constants in the Meyer inequality
- Sharp inequalities for martingales with applications to the Beurling-Ahlfors and Riesz transforms
- On the geometry of diffusion operators and stochastic flows
- Martingale transforms and \(L^p\)-norm estimates of Riesz transforms on complete Riemannian manifolds
- Riesz transform and \(L^p\)-cohomology for manifolds with Euclidean ends
- Essential self-adjointness of powers of generators of hyperbolic equations
- Liouville theorems for symmetric diffusion operators on complete Riemannian manifolds
- A special Stoke's theorem for complete Riemannian manifolds
- Riesz transform on manifolds and heat kernel regularity
- Space-time Brownian motion and the Beurling-Ahlfors transform
- On Weak Continuity and the Hodge Decomposition
- The heat kernel weighted Hodge Laplacian on noncompact manifolds
- Riesz transforms for $1\le p\le 2$
- Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds
- One-Parameter Semigroups for Linear Evolution Equations
- Analysis on local Dirichlet spaces. I. Recurrence, conservativeness and Lp-Liouville properties.
- Riesz transform and related inequalities on non‐compact Riemannian manifolds
- L p Theory of Differential Forms on Manifolds
- Estimation des projecteurs de De Rham Hodge de certaines variétés riemaniennes non compactes
- Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)
- On the best values of the constants in the theorem of M. Riesz, Zygmund and Kolmogorov
- Harmonic Forms and Heat Conduction
- Hilbert Space Methods in the Theory of Harmonic Integrals
