16:00 - 17:00, January 8, 2025 (Wednesday) Room 515, Cosmology Building, NTU
(臺灣大學次震宇宙館 515研討室)
A Multi-parameter Class of Singular Multipliers Zipeng Wang (Westlake University)
Abstract
We study a class of singular multipliers satisfying a differential inequality in with certain multi-parameter characteristics. We show that the regarding convolution operators of order are bounded from the classical, atom decomposable -Hardy space to . Consequently, we obtain a sharp -result due to Miyachi.
As an application, we prove a generalized Sobolev -norm inequality for convolutions with distributions having singularity on . This further implies a new a priori estimate for the solution of wave equations.
