与椭圆算子相关联调和分析若干问题的研究

11871480
2018
A0205.调和分析与逼近论
颜立新
面上项目
教授
中山大学
55万元
L-调和函数;流形上函数空间;L-Hardy空间;L-BMO空间;流形上奇异积分
2019-01-01到2022-12-31
  • 中英文摘要
  • 结题摘要
  • 结题报告
  • 项目成果
  • 项目参与人
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序号 标题 类型 作者
1 Frame decomposition and radial maximal semigroup characterization of Hardy spaces associated to operators 期刊论文 Xuan Thinh Duong;Li Ji;Son Liang;Yan Lixin
2 BMO spaces associated to operators with generalised Poisson bounds on non-doubling manifolds with ends 期刊论文 Peng Chen;Xuan Thinh Duong;Ji Li;Liang Song;Lixin Yan
3 Bounds on the maximal Bochner-Riesz means for elliptic operators 期刊论文 Peng Chen;Sanghyuk Lee;Adam Sikora;Lixin Yan
4 Exponential-Square Integrability, Weighted Inequalities for the Square Functions Associated to Operators, and Applications 期刊论文 Peng Chen;Xuan Thinh Duong;Liangchuan Wu;Lixin Yan
5 Weak-type endpoint bounds for Bochner–Riesz means for the Hermite operator 期刊论文 Peng Chen;Ji Li;Lesley Ward;Lixin Yan
6 The Schrodinger equation in Lp spaces for operators with heat kernel satisfying Poisson type bounds 期刊论文 Peng CHEN;Xuan Thinh DUONG;Zhijie FAN;Ji LI;Lixin YAN
7 Almost everywhere convergence of spectral sums for self-adjoint operators 期刊论文 Peng Chen;Xuan Thinh Duong;Lixin Yan
8 Almost everywhere convergence of Bochner-Riesz means for the Hermite operators 期刊论文 Peng Chen;Xuan Thinh Duong;Danqing He;Sanghyuk Lee;Lixin Yan
9 A boundedness criterion for singular integral operators of convolution type on the Fock space 期刊论文 Guangfu Cao;Ji Li;Minxing Shen;Brett D.Wick;Lixin Yan
10 Spectral multipliers without semigroup framework and application to random walks 期刊论文 Peng Chen;El Maati Ouhabaz;Adam Sikora;Lixin Yan
11 Spectral multipliers via resolvent type estimates on non-homogeneous metric measure spaces 期刊论文 Peng Chen;Adam Sikora;Lixin Yan
12 Sharp endpoint Lp estimates for Schrödinger groups 期刊论文 Peng Chen;Xuan Thinh Duong;Ji Li;Lixin Yan
13 Hardy spaces meet harmonic weights 期刊论文 Preisner Marcin;Sikora Adam;Yan Lixin
14 A sharp regularity estimate for the Schrodinger propagator on the sphere 期刊论文 Xianghong Chen;Xuan Thinh Duong;Sanghyuk Lee;Lixin Yan
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