Endpoint estimates for Riesz transforms of magnetic Schrödinger operators
From MaRDI portal
Publication:1005733
DOI10.1007/s11512-006-0021-xzbMath1172.35370OpenAlexW1970489632MaRDI QIDQ1005733
Xuan Thinh Duong, El Maati Ouhabaz, Li Xin Yan
Publication date: 9 March 2009
Published in: Arkiv för Matematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11512-006-0021-x
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) General theory of partial differential operators (47F05) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)
Related Items
Maximal function characterizations of Hardy spaces associated with magnetic Schrödinger operators ⋮ Bernstein inequalities via the heat semigroup ⋮ Classes of weights and second order Riesz transforms associated to Schrödinger operators ⋮ The boundedness of Weyl multiplier on Hardy spaces associated with twisted convolution ⋮ Estimates for second-order Riesz transforms associated with magnetic Schrödinger operators on Musielak-Orlicz-Hardy spaces ⋮ \(\mathcal H^p\)-boundedness of Weyl multipliers ⋮ Riesz transforms of Schrödinger operators on manifolds ⋮ Quantitative weighted bounds for Littlewood-Paley functions generated by fractional heat semigroups related with Schrödinger operators ⋮ Limited range extrapolation with quantitative bounds and applications ⋮ Classes of Hardy spaces associated with operators, duality theorem and applications ⋮ Commutators of higher order Riesz transform associated with Schrödinger operators ⋮ Maximal inequalities and Riesz transform estimates on \(L^p\) spaces for magnetic Schrödinger operators. II ⋮ THE ESTIMATES OF RIESZ TRANSFORMS ASSOCIATED TO SCHRÖDINGER OPERATORS ⋮ Weighted norm inequalities for commutators of BMO functions and singular integral operators with non-smooth kernels ⋮ Comparison of the classical BMO with the BMO spaces associated with operators and applications ⋮ Riesz transforms associated with higher-order Schrödinger type operators ⋮ Maximal function characterizations of Musielak-Orlicz-Hardy spaces associated with magnetic Schrödinger operators ⋮ Quantitative weighted estimates for some singular integrals related to critical functions ⋮ Maximal inequalities and Riesz transform estimates on \(L^p\) spaces for Schrödinger operators with nonnegative potentials ⋮ Commutators of Riesz transforms of magnetic Schrödinger operators ⋮ Area Littlewood-Paley functions associated with Hermite and Laguerre operators ⋮ Second order Riesz transforms associated to the Schrödinger operator for \(p\leqslant 1\) ⋮ Riesz transform characterization of Hardy spaces associated with Schrödinger operators with compactly supported potentials ⋮ Weights of exponential growth and decay for Schrödinger-type operators ⋮ Hardy spaces associated with magnetic Schrödinger operators on strongly Lipschitz domains ⋮ Riesz transforms associated to Schrödinger operators on weighted Hardy spaces ⋮ Maximal inequalities and Riesz transform estimates on \(L^p\) spaces for magnetic Schrödinger operators I ⋮ Second-order Riesz transforms associated with magnetic Schrödinger operators ⋮ Hardy spaces associated to non-negative self-adjoint operators satisfying Davies-Gaffney estimates
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Some new function spaces and their applications to harmonic analysis.
- Singular integral operators with non-smooth kernels on irregular domains
- Hardy space \(H^1\) associated to Schrödinger operator with potential satisfying reverse Hölder inequality
- Riesz transform, Gaussian bounds and the method of wave equation
- BMO spaces related to Schrödinger operators with potentials satisfying a reverse Hölder inequality
- Upper bounds of derivatives of the heat kernel on an arbitrary complete manifold
- \(L^ p\) estimates for Schrödinger operators with certain potentials
- Riesz transforms for $1\le p\le 2$
- Non-Gaussian Aspects of Heat Kernel Behaviour
- Estimates in L^p for magnetic Schrodinger operators
- Duality of Hardy and BMO spaces associated with operators with heat kernel bounds
- New function spaces of BMO type, the John‐Nirenberg inequality, interpolation, and applications
- Maximal regularity and kernel bounds: observations on a theorem by Hieber and Prüss