数学物理学报(英文版) ›› 2021, Vol. 41 ›› Issue (6): 1985-2020.doi: 10.1007/s10473-021-0613-3

• 论文 • 上一篇    下一篇

ON F(p,q,s) SPACES

Ruhan ZHAO   

  1. Department of Mathematics, SUNY Brockport, Brockport, NY 14420, USA
  • 收稿日期:2021-04-01 修回日期:2021-09-06 出版日期:2021-12-25 发布日期:2021-12-27
  • 作者简介:Ruhan ZHAO,E-mail:rzhao@brockport.edu
  • 基金资助:
    Research partially supported by NSFC (11720101003).

ON F(p,q,s) SPACES

Ruhan ZHAO   

  1. Department of Mathematics, SUNY Brockport, Brockport, NY 14420, USA
  • Received:2021-04-01 Revised:2021-09-06 Online:2021-12-25 Published:2021-12-27
  • Supported by:
    Research partially supported by NSFC (11720101003).

摘要: The family of spaces F(p,q,s) was introduced by the author in 1996. Since then, there has been great development in the theory of these spaces, due to the fact that these spaces include many classical function spaces, and have connections with many other areas of mathematics. In this survey we present some basic properties and recent results on F(p,q,s) spaces.

关键词: F(p,q,s) spaces, Qs spaces, α-Bloch spaces, BMOA, weighted Dirichlet spaces, weighted Bergman spaces, Hardy space, Riemann-Stieltjes operators, pointwise multiplication operators.

Abstract: The family of spaces F(p,q,s) was introduced by the author in 1996. Since then, there has been great development in the theory of these spaces, due to the fact that these spaces include many classical function spaces, and have connections with many other areas of mathematics. In this survey we present some basic properties and recent results on F(p,q,s) spaces.

Key words: F(p,q,s) spaces, Qs spaces, α-Bloch spaces, BMOA, weighted Dirichlet spaces, weighted Bergman spaces, Hardy space, Riemann-Stieltjes operators, pointwise multiplication operators.

中图分类号: 

  • 30H25