THE RADIAL DERIVATIVES ON WEIGHTED BERGMAN SPACES

Si-Ho Kang, Ja-Young Kim
2003 Communications of the Korean Mathematical Society  
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 ∈ B r (i), f is the radial derivative of some element of B r (i) if and only if lim t→∞ f (tz) = 0 for all z ∈ H.
doi:10.4134/ckms.2003.18.2.243 fatcat:ccjyjejocjhw3dzqngq5ycmztu