Riesz transforms through reverse Hölder and Poincaré inequalities
From MaRDI portal
Publication:343610
DOI10.1007/s00209-016-1674-1zbMath1368.58013arXiv1503.02508OpenAlexW2258458748MaRDI QIDQ343610
Dorothee Frey, Frédéric Bernicot
Publication date: 28 November 2016
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1503.02508
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Heat and other parabolic equation methods for PDEs on manifolds (58J35)
Related Items (8)
Heat semigroup and singular PDEs. With an appendix by F. Bernicot and D. Frey ⋮ Bernstein inequalities via the heat semigroup ⋮ Riesz transform via heat kernel and harmonic functions on non-compact manifolds ⋮ New Riemannian manifolds with \(L^p\)-unbounded Riesz transform for \(p > 2\) ⋮ Sobolev algebras through heat kernel estimates ⋮ Gradient estimates for heat kernels and harmonic functions ⋮ Estimates for operators related to the sub-Laplacian with drift in Heisenberg groups ⋮ A dichotomy concerning uniform boundedness of Riesz transforms on Riemannian manifolds
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Gaussian heat kernel bounds through elliptic Moser iteration
- A new approach to pointwise heat kernel upper bounds on doubling metric measure spaces
- The Hodge-de Rham Laplacian and \(L^p\)-boundedness of Riesz transforms on non-compact manifolds
- Riesz transforms associated to Schrödinger operators with negative potentials
- Gaussian upper bounds for the heat kernel on arbitrary Riemannian manifolds
- Weighted norm inequalities, off-diagonal estimates and elliptic operators. I: General operator theory and weights
- Riesz transform and perturbation
- Calderón reproducing formulas and applications to Hardy spaces
- On maximal regularity of type \(L^p-L^q\) under minimal assumptions for elliptic non-divergence operators
- Dirichlet forms and symmetric Markov processes
- Self-improving properties of John-Nirenberg and Poincaré inequalities on spaces of homogeneous type
- Weak type \((p,p)\) estimates for Riesz transforms
- Riesz transform, Gaussian bounds and the method of wave equation
- Bounds of Riesz transforms on \(L^p\) spaces for second order elliptic operators.
- \(L^p\) bounds for Riesz transforms and square roots associated to second order elliptic operators
- \(L^ p\) estimates for Schrödinger operators with certain potentials
- Analysis on local Dirichlet spaces. II: Upper Gaussian estimates for the fundamental solutions of parabolic equations
- Stability of weighted Laplace-Beltrami operators under \(L^ p\)-perturbation of the Riemannian metric
- Riesz transforms of Schrödinger operators on manifolds
- Singular integral operators on tent spaces
- The Poincaré inequality is an open ended condition
- Maximal inequalities and Riesz transform estimates on \(L^p\) spaces for Schrödinger operators with nonnegative potentials
- 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.)
- The L\(^p\)-integrability of the partial derivatives of a quasiconformal mapping
- 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
- Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
- Riesz transforms for $1\le p\le 2$
- Sobolev met Poincaré
- Gaussian heat kernel upper bounds via the Phragmén-Lindelöf theorem
- Reverse Hölder inequalities and approximation spaces
This page was built for publication: Riesz transforms through reverse Hölder and Poincaré inequalities
