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Upper bounds for Fourier decay rates of fractal measures

  • Published:2020-06-28 Issue:3 Volume:102 Page:1318-1336
  • ISSN:0024-6107
  • Container-title:Journal of the London Mathematical Society
  • language:en
  • Short-container-title:J. London Math. Soc.

Author:

Du Xiumin1

Affiliation:

1. Department of Mathematics University of Maryland College Park MD 20742 USA

Funder

National Science Foundation

Publisher

Wiley

Subject

General Mathematics

Reference15 articles.

1. Some special solutions of the Schr\"odinger equation

2. A note on the Schrödinger maximal function

3. C. H.ChoandH.Ko ‘Note on maximal estimates of generalized Schrödinger equation’ Preprint 2018 arXiv:1809.03246.

4. Weighted restriction estimates and application to Falconer distance set problem;Du X.;Amer. J. Math.,2018

5. Lower bounds for estimates of the Schrödinger maximal function;Du X.;Math. Res. Lett.,2019

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2. Pointwise convergence over fractals for dispersive equations with homogeneous symbol;Journal of Mathematical Analysis and Applications;2022-11

3. Dimension of divergence set of the wave equation;Nonlinear Analysis;2022-02

4. Convergence over fractals for the Schroedinger equation;Indiana University Mathematics Journal;2022

5. Hausdorff dimension and projections related to intersections;Publicacions Matemàtiques;2022-01-01
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