|DATE||April 22 (Fri), 2022|
|SPEAKER||Lee, Jin Bong|
|TITLE||Multilinear Fourier multipliers on Hardy spaces|
|ABSTRACT||A study on multilinear operators is motivated by certain functionals arising in theory of partial differential equations or operator theory.
For a general frame work of the study, it is required that quantitative estimates for multilinear operators of abstract forms.
In this talk, the speaker introduces recent results on boundedness of multilinear operators associated with Fourier multipliers on Hardy spaces.
The Fourier multipliers of our particular interest satisfy multilinear analogues of the H\"ormander condition, which is a sufficient condition for the $L^p$ multiplier problem in linear theory.