# THE RADIAL DERIVATIVES ON WEIGHTED BERGMAN SPACES

Kang, Si-Ho;Kim, Ja-Young

• Published : 2003.04.01
• 44 7

#### Abstract

We consider weighted Bergman spaces and radial derivatives on the spaces. We also prove that for each element f in B$\^$p, r/ there is a unique f in B$\^$p, r/ such that f is the radial derivative of f and for each f$\in$B$\^$r/(i), f is the radial derivative of some element of B$\^$r/(i) if and only if, lim f(tz)= 0 for all z$\in$H.

#### References

1. Harmonic Bergman Fuctions as Radical Derivatives of Bergman Functions, Preprint B.R.Choe;H.Koo;H.Yi
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5. Bull. Korean Math. Soc. v.37 no.3 Toeplitz operators on weighted alalytic Beryman spaces of the half-plane S.H.Kang;J.Y.Kim
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#### Cited by

1. Composition operators from the weighted Bergman space to the nth weighted-type space on the upper half-plane vol.217, pp.7, 2010, https://doi.org/10.1016/j.amc.2010.09.001