Sharp spectral multipliers for operators satisfying generalized Gaussian estimates
From MaRDI portal
Publication:477043
DOI10.1016/j.jfa.2013.08.028zbMath1302.47052arXiv1211.1295OpenAlexW2964328117MaRDI QIDQ477043
Xiao Hua Yao, Adam S. Sikora, Li Xin Yan
Publication date: 2 December 2014
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1211.1295
heat semigroupspace of homogeneous typespectral multipliersnon-negative self-adjoint operator\(m\)-th order generalized Gaussian estimatesrestriction type condition
One-parameter semigroups and linear evolution equations (47D06) Multipliers for harmonic analysis in several variables (42B15) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40)
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Cites Work
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- Bochner-Riesz profile of anharmonic oscillator \(\mathcal{L} = -\frac{d^2}{dx^2} + |x|\)
- Restriction and spectral multiplier theorems on asymptotically conic manifolds
- Limits on \(L^ p\) regularity of self-adjoint elliptic operators
- Estimates for translation invariant operators in \(L^p\) spaces
- \(H^p-H^q\) estimates for dispersive equations and related applications
- On the boundedness of functions of (pseudo-) differential operators on compact manifolds
- Variants of the Calderón-Zygmund theory for \(L^ p\)-spaces
- Brownian motion on the Sierpinski gasket
- Uniform Sobolev inequalities and unique continuation for second order constant coefficient differential operators
- On the convergence of Riesz means on compact manifolds
- Convex hypersurfaces and Fourier transforms
- The weak type \(L^ 1\) convergence of eigenfunction expansions for pseudodifferential operators
- Singular integral operators with non-smooth kernels on irregular domains
- Weighted norm estimates and maximal regularity.
- Riesz transform, Gaussian bounds and the method of wave equation
- On the \(L_{p}\)-theory of \(C_{0}\)-semigroups associated with second-order elliptic operators. II
- Plancherel-type estimates and sharp spectral multipliers
- Function spaces on fractals
- Calderón-Zygmund theory for non-integral operators and the \(H^\infty\) functional calculus
- Uniformly elliptic operators with measurable coefficients
- The spectral function of an elliptic operator
- Inequalities for strongly singular convolution 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.)
- The multiplier problem for the ball
- Riesz transform on manifolds and heat kernel regularity
- Some Inequalities for Singular Convolution Operators in L p -Spaces
- L p Bounds for Spectral Multipliers on Nilpotent Groups
- Sharp constants in higher-order heat kernel bounds
- A multiplier theorem for Schrödinger operators
- Spectral multiplier theorems of Hormander type on Hardy and Lebesgue spaces
- Partial differential equations on products of Sierpinski gaskets
- Gaussian heat kernel upper bounds via the Phragmén-Lindelöf theorem
- $L^{p}$-multiplier theorems
- A spectral multiplier theorem for a sublaplacian on SU\((2)\)
- A restriction theorem for the Fourier transform