# WEIGHTED BLOCH SPACES AND SOME OPERATORS INDUCED BY RADIAL DERIVATIVES

• Kang, Si-Ho (Department of Mathematics, Sookmyung Women's University)
• Published : 2004.05.01

#### Abstract

In the setting of the half-plane of the complex plane, we show that for $r\geq0$, the dual space of the weighted bergman spaces B$^{1}{\gamma}$ is the Bloch space of the half-plane and we study some bounded linear operators induced by radial derivatives.

#### References

1. Proc. Amer. Math. Soc. v.131 no.2 Harmonic Bergman functions as radial derivatives of Bergmen functions B.R.Choe;H.Koo;H.Yi https://doi.org/10.1090/S0002-9939-02-06531-0
2. Uspehi Mat. Nauk. v.19 no.4 Analysis in homogeneous domains S.G.Gindkin
3. Theory of Bergman spaces H.Hedenmalm;B.Korenblum;K.Zhu
4. Commun, Korean Math. Soc. v.18 no.2 The raidal derivatives on weighted Bergman spaces S.H.Kang;J.Y.Kim https://doi.org/10.4134/CKMS.2003.18.2.243
5. Ph. D. Thesis, Sookmyung Women's University Weighted analytic Bergman spaces of the half plane and their Toeplitz operators J.Y.Kim