Weighted norm inequalities, Gaussian bounds and sharp spectral multipliers
From MaRDI portal
Publication:629701
DOI10.1016/j.jfa.2010.11.006zbMath1250.42042arXiv1003.1831OpenAlexW2962964446MaRDI QIDQ629701
Xuan Thinh Duong, Adam S. Sikora, Li Xin Yan
Publication date: 9 March 2011
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1003.1831
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Multipliers for harmonic analysis in several variables (42B15)
Related Items
Riesz transforms and multipliers for the Bessel-Grushin operator ⋮ \(H^{\infty}\) calculus for submarkovian semigroups on weighted \(L^2\) spaces ⋮ \(L^p\)-bounds for Stein's square functions associated to operators and applications to spectral multipliers ⋮ Restriction estimates, sharp spectral multipliers and endpoint estimates for Bochner-Riesz means ⋮ Spectral multiplier theorems via \(H^\infty\) calculus and \(R\)-bounds ⋮ Spectral multipliers on exponentially locally doubling metric measure spaces ⋮ Unnamed Item ⋮ Joint functional calculi and a sharp multiplier theorem for the Kohn Laplacian on spheres ⋮ Sparse bounds for pseudo-multipliers associated to Grushin operators. I. ⋮ Spectral multiplier theorems for abstract harmonic oscillators on UMD lattices ⋮ Hardy spaces associated to self-adjoint operators on general domains ⋮ Bounds on the maximal Bochner-Riesz means for elliptic operators ⋮ Spectral multipliers from \(H^1_L(X)\) to \(L^q(X)\) ⋮ Commutators of BMO functions with spectral multiplier operators ⋮ Musielak-Orlicz-Hardy spaces associated with operators and their applications ⋮ Littlewood-Paley and spectral multipliers on weighted \(L^p\) spaces ⋮ Weighted norm inequalities for commutators of BMO functions and singular integral operators with non-smooth kernels ⋮ Multiplier theorems via martingale transforms ⋮ Almost everywhere convergence of Bochner-Riesz means for the Hermite operators ⋮ Semilinear elliptic equations with the pseudo-relativistic operator on a bounded domain ⋮ Limit behaviors of solutions to the pseudo-relativistic Lane-Emden equation ⋮ Paley-Littlewood decomposition for sectorial operators and interpolation spaces ⋮ Weighted norm inequalities for spectral multipliers without Gaussian estimates ⋮ Weighted norm inequalities for spectral multipliers on graphs
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Estimates for translation invariant operators in \(L^p\) spaces
- Weighted norm inequalities, off-diagonal estimates and elliptic operators. I: General operator theory and weights
- On the boundedness of functions of (pseudo-) differential operators on compact manifolds
- \(H^ p\)-multipliers on stratified groups
- On the convergence of Riesz means on compact manifolds
- The weak type \(L^ 1\) convergence of eigenfunction expansions for pseudodifferential operators
- Singular integral operators with non-smooth kernels on irregular domains
- Factorization of \(A_p\) weights
- Vector-valued multipliers on stratified groups
- Weighted Hardy spaces
- Oscillating multipliers on Lie groups and Riemannian manifolds
- From the \(L^ 1\) norms of the complex heat kernels to a Hörmander multiplier theorem for sub-Laplacians on nilpotent Lie groups
- Plancherel-type estimates and sharp spectral multipliers
- Spectral multipliers for Markov chains
- On spectral multipliers for Heisenberg and related groups
- Laplacians on fractals with spectral gaps have nicer Fourier series
- The spectral function of an elliptic operator
- Interpolation of Linear Operators
- Interpolation of Operators with Change of Measures
- Results on Weighted Norm Inequalities for Multipliers
- Change of Variable Results for A p -and Reverse Holder RH r -Classes
- L p Bounds for Spectral Multipliers on Nilpotent Groups
- On the 𝐿²→𝐿^{∞} norms of spectral multipliers of “quasi-homogeneous” operators on homogeneous groups
- A multiplier theorem for Schrödinger operators
- Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
- Sharp maximal functions associated with approximations of the identity in spaces of homogeneous type and applications
- A spectral multiplier theorem for a sublaplacian on SU\((2)\)
This page was built for publication: Weighted norm inequalities, Gaussian bounds and sharp spectral multipliers
