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For the one-sided wave propagator, we consider Strichartz estimates for orthonormal families of data. In three spatial dimensions, we provide some new progress towards what appears to be the natural conjecture regarding such estimates. In addition, we discuss connections with a spherical velocity averaging operator whose adjoint is a restricted X-ray transform along light rays.

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Orthonormal Strichartz Estimates for the Wave Equation and Related Geometric Inequalities

  • 会议论文

  • 发表日期：

    2025年

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  • Neal Bez,
  • Sanghyuk Lee,
  • Shohei Nakamura

摘要

For the one-sided wave propagator, we consider Strichartz estimates for orthonormal families of data. In three spatial dimensions, we provide some new progress towards what appears to be the natural conjecture regarding such estimates. In addition, we discuss connections with a spherical velocity averaging operator whose adjoint is a restricted X-ray transform along light rays.