Acta mathematica scientia,Series B ›› 2021, Vol. 41 ›› Issue (6): 1985-2020.doi: 10.1007/s10473-021-0613-3

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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).

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.

CLC Number: 

  • 30H25