Chinese Quarterly Journal of Mathematics ›› 2003, Vol. 18 ›› Issue (1): 74-81.

Previous Articles     Next Articles

Herz Spaces on Nilpotent Lie Groups and Its Applications

  

  1. 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)

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

CLC Number: