Counterexamples for the fractal Schrödinger convergence problem with an intermediate space trick
DOI10.3934/cpaa.2022122OpenAlexW4297721206WikidataQ125016379 ScholiaQ125016379MaRDI QIDQ2691522
Daniel Eceizabarrena, Felipe E. Ponce-Vanegas
Publication date: 29 March 2023
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.04050
Hausdorff dimensionCarleson's problemmass transference principleBourgain's counterexampleintermediate space trick
Schrödinger operator, Schrödinger equation (35J10) Harmonic analysis and PDEs (42B37) Initial value problems for PDEs and systems of PDEs with constant coefficients (35E15)
Cites Work
- Unnamed Item
- A note on the Schrödinger maximal function
- On the dimension of divergence sets of dispersive equations
- Singular sets of Sobolev functions
- Average decay of the Fourier transform of measures with applications
- Problems on pointwise convergence of solutions to the Schrödinger equation
- Lower bounds for estimates of the Schrödinger maximal function
- Dimension of divergence sets for the pointwise convergence of the Schrödinger equation
- A note on non-tangential convergence for Schrödinger operators
- Pointwise convergence over fractals for dispersive equations with homogeneous symbol
- Mass transference principle from rectangles to rectangles in Diophantine approximation
- Sharp \(L^2\) estimates of the Schrödinger maximal function in higher dimensions
- A sharp Schrödinger maximal estimate in \(\mathbb{R}^2\)
- A mass transference principle and the Duffin-Schaeffer conjecture for Hausdorff measures
- A note on pointwise convergence for the Schrödinger equation
- Upper bounds for Fourier decay rates of fractal measures
- Convergence properties for the time-dependent Schrödinger equation
- Pointwise Convergence of the Schrödinger Flow
- On Bourgain’s Counterexample for the Schrödinger Maximal Function
- Pointwise Convergence of Solutions to the Schrödinger Equation on Manifolds
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