PhD Public Lecture (Math) - Zeinab Jafarlavasani
Title: Fourier transforms between weighted Lorentz spaces
Abstract:
We will study and compare the necessary and sufficient conditions for the Fourier transform to be bounded between different weighted Lorentz spaces in two cases. First, we investigate the desired conditions for a Fourier transform between two weighted Lorentz spaces on the real line. Then, we give the analogous results for a Fourier series from a weighted Lorentz space on the unit circle to a weighted Lorentz sequence space.