A \(T(1)\)-theorem for non-integral operators
From MaRDI portal
Publication:368632
DOI10.1007/s00208-013-0901-xzbMath1280.42006arXiv1107.4347OpenAlexW2051393043MaRDI QIDQ368632
Dorothee Frey, Peer Christian Kunstmann
Publication date: 23 September 2013
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1107.4347
Related Items
Trilinear embedding for divergence-form operators with complex coefficients, Pseudodifferential operators associated with a semigroup of operators, Sobolev algebras through heat kernel estimates, A new interpolation approach to spaces of Triebel-Lizorkin type
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
- Quadratic estimates and functional calculi of perturbed Dirac operators
- Morceaux de graphes lipschitziens et intégrales singulières sur une surface
- Hardy spaces of differential forms on Riemannian manifolds
- New abstract Hardy spaces
- Hardy and BMO spaces associated to divergence form elliptic operators
- A boundedness criterion for generalized Calderón-Zygmund operators
- Some new function spaces and their applications to harmonic analysis.
- Opérateurs de Calderón-Zygmund, fonctions para-accrétives et interpolation. (Calderón-Zygmund operators, para-accretive functions and interpolation)
- Singular integral operators with non-smooth kernels on irregular domains
- Heat kernel bounds, conservation of probability and the Feller property
- Weak type \((p,p)\) estimates for Riesz transforms
- On the \(L_{p}\)-theory of \(C_{0}\)-semigroups associated with second-order elliptic operators. II
- The solution of the Kato square root problem for second order elliptic operators on \(\mathbb R^n\).
- \(L^p\) bounds for Riesz transforms and square roots associated to second order elliptic operators
- Calderón-Zygmund theory for non-integral operators and the \(H^\infty\) functional calculus
- The \(Tb\)-theorem on non-homogeneous spaces.
- Hardy spaces associated to operators satisfying Davies-Gaffney estimates and bounded holomorphic functional calculus
- Paraproducts via \(H^{\infty}\)-functional calculus
- The Poincaré inequality is an open ended condition
- Kato's square root problem in Banach spaces
- An operator-valued \(Tb\) theorem
- The functional calculus for sectorial operators
- 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.)
- Semigroup kernels, Poisson bounds, and holomorphic functional calculus
- Weighted norm inequalities, off-diagonal estimates and elliptic operators. II: Off-diagonal estimates on spaces of homogeneous type
- A 𝑇(1)-theorem in relation to a semigroup of operators and applications to new paraproducts
- Riesz transform on manifolds and heat kernel regularity
- Hardy spaces associated to non-negative self-adjoint operators satisfying Davies-Gaffney estimates
- On necessary and sufficient conditions for 𝐿^{𝑝}-estimates of Riesz transforms associated to elliptic operators on ℝⁿ and related estimates
- Riesz transforms for $1\le p\le 2$
- Sobolev met Poincaré
- A T(b) theorem with remarks on analytic capacity and the Cauchy integral
- Duality of Hardy and BMO spaces associated with operators with heat kernel bounds
- Second order elliptic operators with complex bounded measurable coefficients in $L^p$, Sobolev and Hardy spaces
- Gaussian heat kernel upper bounds via the Phragmén-Lindelöf theorem
- New function spaces of BMO type, the John‐Nirenberg inequality, interpolation, and applications