Acta mathematica scientia,Series B ›› 2021, Vol. 41 ›› Issue (1): 337-348.doi: 10.1007/s10473-021-0120-6

• Articles • Previous Articles    

GLEASON'S PROBLEM ON FOCK-SOBOLEV SPACES

Jineng DAI, Jingyun ZHOU   

  1. Department of Mathematics, School of Science, Wuhan University of Technology, Wuhan 430070, China
  • Received:2019-07-02 Revised:2020-07-23 Online:2021-02-25 Published:2021-04-06
  • About author:Jineng DAI,E-mail:jinengdai@whut.edu.cn;Jingyun ZHOU,E-mail:zhou19950614@163.com
  • Supported by:
    Supported by the National Natural Science Foundation of China (11671306, 11771441).

Abstract: In this article, we solve completely Gleason's problem on Fock-Sobolev spaces $F^{p,m}$ for any non-negative integer $m$ and $0 < p\leq\infty$.

Key words: Fock-Sobolev space, Gleason's problem

CLC Number: 

  • 30H20
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