Nilpotent Lie群上Herz空间及它的某些应用

数学季刊 ›› 2003, Vol. 18 ›› Issue (1): 74-81.

Nilpotent Lie群上Herz空间及它的某些应用

1.Department of Mathematics, Nantong Teacher's Institute, Nantong 226007, China;2.College of Mathematics and Information Science, Henan University, Kaifeng 475001, China

收稿日期:2002-09-23 出版日期:2003-03-30 发布日期:2024-04-23
作者简介:ZHU Yue-ping（1965－）,female,native of Jingjiang,Jiangsu,Ph．D．,an associate professor of Nantong Teacher s Institute,engages in harmonic analysis,operator theory and partial differential equations.
基金资助:
Supported by the National Natural Science Foundation of China（60272042）；Supported by the National Natural Science Foundation of Henan Province（211050300）

Herz Spaces on Nilpotent Lie Groups and Its Applications

1.Department of Mathematics, Nantong Teacher's Institute, Nantong 226007, China;2.College of Mathematics and Information Science, Henan University, Kaifeng 475001, China

Received:2002-09-23 Online:2003-03-30 Published:2024-04-23
About author:ZHU Yue-ping（1965－）,female,native of Jingjiang,Jiangsu,Ph．D．,an associate professor of Nantong Teacher s Institute,engages in harmonic analysis,operator theory and partial differential equations.
Supported by:
Supported by the National Natural Science Foundation of China（60272042）；Supported by the National Natural Science Foundation of Henan Province（211050300）

摘要/Abstract

摘要： In this paper,we define Herz type spaces on nilpotent Lie groups and give the boundedess of heat kernel and Riesz transform on Herz spaces.

关键词: nilpotent Lie groups, Herz spaces, heat kernel

Abstract: In this paper,we define Herz type spaces on nilpotent Lie groups and give the boundedess of heat kernel and Riesz transform on Herz spaces.

Key words: nilpotent Lie groups, Herz spaces, heat kernel

中图分类号:

O175．2

朱月萍, 李登峰. Nilpotent Lie群上Herz空间及它的某些应用[J]. 数学季刊, 2003, 18(1): 74-81.

ZHU Yue-ping, LI Deng-feng. Herz Spaces on Nilpotent Lie Groups and Its Applications[J]. Chinese Quarterly Journal of Mathematics, 2003, 18(1): 74-81.