\(L^p\) estimates for some Schrödinger type operators and a Calderón-Zygmund operator of Schrödinger type
From MaRDI portal
Publication:2454942
DOI10.3836/tjm/1184963655zbMath1207.35112OpenAlexW1982226988MaRDI QIDQ2454942
Publication date: 22 October 2007
Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.tjm/1184963655
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximum principles in context of PDEs (35B50) A priori estimates in context of PDEs (35B45) Schrödinger operator, Schrödinger equation (35J10)
Related Items
The boundedness of commutators associated with Schrödinger operators on Herz spaces, Some estimates of higher order Riesz transform related to Schrödinger type operators, Some estimates of Schrödinger type operators on the Heisenberg group, \(L^p\) estimates for Riesz transform and their commutators associated with Schrödinger type operator, Eigenvalue asymptotics and exponential decay of eigenfunctions for the fourth order Schrödinger type operator, Boundedness of variation operators associated with the heat semigroup generated by high order Schrödinger type operators, Two weighted inequalities for operators associated to a critical radius function, Estimates for the Riesz transforms associated with Schrödinger type operators, <i>L</i><sup><i>p</i></sup> Boundedness of Higher Order Schrödinger Type Operators, Fourth‐order Schrödinger type operator with unbounded coefficients in L2(ℝN), Variation operators for semigroups and Riesz transforms on \(BMO\) in the Schrödinger setting, Commutators of higher order Riesz transform associated with Schrödinger operators, Boundedness of second order Riesz transforms associated to Schrödinger operators on Musielak-Orlicz-Hardy spaces, \(L^p\) estimates for the Schrödinger type operators, Estimates of the fundamental solution for higher order Schrödinger type operators and their applications, ESTIMATES FOR RIESZ TRANSFORMS ASSOCIATED WITH SCHRÖDINGER TYPE OPERATORS, Second-order regularity estimates for singular Schrödinger equations on convex domains, ESTIMATES FOR THE HIGHER ORDER RIESZ TRANSFORMS RELATED TO SCHRÖDINGER TYPE OPERATORS, Unnamed Item, Global weighted estimates for higher order Schrödinger operators with discontinuous coefficients, Endpoint estimates for commutators of Riesz transforms related to Schrödinger operators, Lorentz gradient estimates for a class of elliptic \(p\)-Laplacian equations with a Schrödinger term, Estimates for the operators \(V^\alpha (-\Delta +V)^{-\beta}\) with nonnegative potentials \(V\), Some estimates of Schrödinger-type operators with certain nonnegative potentials, Some estimates for commutators of Riesz transform associated with Schrödinger type operators, Some estimates of Riesz transforms related to Schrödinger-type operators, A Calderón-Zygmund operator of higher order Schrödinger type
Cites Work
- Unnamed Item
- Estimates for the operators \(V^{\alpha}(-\Delta +V)^{-\beta}\) and \(V^{\alpha} \nabla(-\Delta +V)^{-\beta}\) with certain non-negative potentials \(V\)
- Estimates of the fundamental solution for magnetic Schrödinger operators and their applications
- On fundamental solutions of generalized Schrödinger operators
- \(L^ p\) estimates for Schrödinger operators with certain potentials
- The L\(^p\)-integrability of the partial derivatives of a quasiconformal mapping
- The uncertainty principle
- An Estimate on the Heat Kernel of Magnetic Schrödinger Operators and Uniformly Elliptic Operators with Non-Negative Potentials
- Estimates in L^p for magnetic Schrodinger operators
- A Remark on Estimates for Uniformly Elliptic Operators on WeightedLp Spaces and Morrey Spaces