A Note on the Convergence of the Schrodinger Operator along Curve
DOI10.4208/ata.2021.lu80.04zbMath1499.42096OpenAlexW3202457005MaRDI QIDQ5864734
Publication date: 8 June 2022
Published in: Analysis in Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4208/ata.2021.lu80.04
Sobolev spaceHausdorff dimensionfractional Schrödinger operatordisconvergence setrefinement of the Carleson problem
Maximal functions, Littlewood-Paley theory (42B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fractional derivatives and integrals (26A33) Schrödinger operator, Schrödinger equation (35J10) Boltzmann equations (35Q20)
Cites Work
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- Global range estimates for maximal oscillatory integrals with radial test functions
- Pointwise convergence of solutions to Schrödinger type equations
- A note on the Schrödinger maximal function
- The Schrödinger equation along curves and the quantum harmonic oscillator
- Pointwise convergence along restricted directions for the fractional Schrödinger equation
- Regularity of solutions to the Schrödinger equation
- Problems on pointwise convergence of solutions to the Schrödinger equation
- Convergence of solutions of general dispersive equations along curve
- A sharp Schrödinger maximal estimate in \(\mathbb{R}^2\)
- On the Schrödinger maximal function in higher dimension
- Estimates with global range for oscillatory integrals with concave phase
- An improved maximal inequality for 2D fractional order Schrödinger operators
- Pointwise convergence of solutions to Schr\"odinger equations
- Convergence properties for the time-dependent Schrödinger equation
- Schrodinger Equations: Pointwise Convergence to the Initial Data
- ON POINTWISE CONVERGENCE OF SCHRÖDINGER MEANS
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