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Extra Form
강연자 김준일
소속 연세대 수학과
date 2019-04-04

The spherical average has been a source of many problems in harmonic analysis.
Since late 90's,  the study of  the maximal spherical means on the Heisenberg group $mathbb{H}^n$ has been started to show  the pointwise ergodic theorems on the    groups. 
Later, it has turned out to be connected with the fold singularities of the Fourier integral operators, which leads to   the $L^p$ boundedness of the spherical maximal means on the Heisenberg group $mathbb{H}^n$ for $nge 2$.
In this talk, we discuss about the $L^p$ boundedness of the circular maximal function on the Heisenberg group $mathbb{H}^1$. The proof is based on the the square sum estimate of the Fourier integral operators associated with the torus   arising from the vector fields of the Heisenberg group algebra.
We compare this  torus with the characteristic cone of the Euclidean space.


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List of Articles
카테고리 제목 소속 강연자
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수학강연회 Anomalous diffusions and fractional order differential equations file University of Washington Zhen-Qing Chen
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수학강연회 Brownian motion and energy minimizing measure in negative curvature file 서울대학교 임선희
수학강연회 Brownian motion with darning and conformal mappings file University of Washington Zhen-Qing Chen
수학강연회 Categorical representation theory, Categorification and Khovanov-Lauda-Rouquier algebras file Kyoto University/서울대학교 Masaki Kashiwara
수학강연회 Categorification of Donaldson-Thomas invariants file 서울대학교 김영훈
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Classification of simple amenable operator algebras file Lakehead University Grazia Viola
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수학강연회 Codimension Three Conjecture file 교토대학교/서울대학교 Masaki Kashiwara
수학강연회 Combinatorial Laplacians on Acyclic Complexes file 서울대학교 국웅
특별강연 Combinatorics and Hodge theory file 미국 프린스턴대 교수, 한국 고등과학원 석학교수 허준이
수학강연회 Compressible viscous Navier-Stokes flows: Corner singularity, regularity file POSTECH 권재룡
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