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Seminars

Taipei Postdoc Seminar

An oscillatory multiplier estimate near $L^1$ and application to the wave equation

2026/05/20 (Wed.) 14:00~15:00
  • Date : 2026/05/20 (Wed.) 14:00~15:00
  • Location : Room 505, Cosmology Building, NTU
  • Speaker : Riju Basak (National Taiwan Normal University)
  • Organizer : Wille Liu (AS), Harry Richman (NCTS)
  • Abstract : Fourier multiplier operators are among the most important operators in mathematical analysis due to their wide range of applications. In this talk, we consider a class of oscillatory multipliers of the form $e^{it|ξ|}(1+|ξ|)^{−b}$, with $t>0$ and $b∈R$, and investigate their boundedness properties on $β$-dimensional spaces of measures that lie between the Hardy space $H^1(R^n)$ and the space of finite Radon measures. Our estimates give a refinement of known estimates of Miyachi and Peral for the Hardy space. We also discuss an application of these estimates to the solution of the wave equation with measure data. This talk is based on a joint work with Daniel Spector.
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