◆ 일       시 :  2014년 6월 25일(수) 오후 4시

◆ 장       소 :  서울대학교 27동 220호﻿

◆ 연       사 :  함 세 헌

◆ 소       속 :  고등과학원

◆ 강연 제목 :  Convolution with measures on some complex curves

◆ 초       록

We obtain uniform strong type estimates for the convolution operators with measures on complex curves. The measure

which we consider here is an analogue of the affine arclength measure for real curves. It is well-known that estimate

for the convolution operator along curves is strongly related to Fourier restriction estimates for curves. For this reason,

our argument relies on uniform Fourier restriction estimates for complex curves and geometric observation to which a

combinatorial method for real curves called band structure due to Christ is modified.