https://www.math.snu.ac.kr/board/files/attach/images/701/ff97c54e6e21a4ae39315f9a12b27314.png
Extra Form
Lecturer 김준일
Dept. 연세대 수학과
date Apr 04, 2019

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.


Atachment
Attachment '1'
List of Articles
Category Subject Dept. Lecturer
Math Colloquia Congruences between modular forms file 서울대 유화종
Math Colloquia Conformal field theory in mathematics file 고등과학원 강남규
Math Colloquia Conformal field theory and noncommutative geometry file 동경대학교 Kawahigashi
Math Colloquia Compressible viscous Navier-Stokes flows: Corner singularity, regularity file POSTECH 권재룡
Math Colloquia Combinatorial Laplacians on Acyclic Complexes file 서울대학교 국웅
Math Colloquia Codimension Three Conjecture file 교토대학교/서울대학교 Masaki Kashiwara
Math Colloquia Cloaking via Change of Variables file KAIST 임미경
Math Colloquia Classical and Quantum Probability Theory file 충북대학교 지운식
Math Colloquia Class field theory for 3-dimensional foliated dynamical systems file Kyushu University Morishita Masanori
Math Colloquia Circular maximal functions on the Heisenberg group file 연세대 수학과 김준일
Math Colloquia Chern-Simons invariant and eta invariant for Schottky hyperbolic manifolds file KIAS 박진성
Math Colloquia Categorification of Donaldson-Thomas invariants file 서울대학교 김영훈
Math Colloquia Categorical representation theory, Categorification and Khovanov-Lauda-Rouquier algebras file Kyoto University/서울대학교 Masaki Kashiwara
Math Colloquia Brownian motion with darning and conformal mappings file University of Washington Zhen-Qing Chen
Math Colloquia Brownian motion and energy minimizing measure in negative curvature file 서울대학교 임선희
Math Colloquia Birational Geometry of varieties with effective anti-canonical divisors file 연세대학교 최성락
Math Colloquia Averaging formula for Nielsen numbers file 서강대학교 이종범
Math Colloquia Arithmetic of elliptic curves file 서울대 김도형
Math Colloquia Anomalous diffusions and fractional order differential equations file University of Washington Zhen-Qing Chen
Math Colloquia Analytic torsion and mirror symmetry file Kyoto University Ken-ichi Yoshikawa
Board Pagination Prev 1 2 3 4 5 6 7 8 9 10 11 12 Next
/ 12