THE RADIAL DERIVATIVES ON WEIGHTED BERGMAN SPACES

Title & Authors
THE RADIAL DERIVATIVES ON WEIGHTED BERGMAN SPACES
Kang, Si-Ho; Kim, Ja-Young;

Abstract
We consider weighted Bergman spaces and radial derivatives on the spaces. We also prove that for each element f in B$\small{\^}$p, r/ there is a unique f in B$\small{\^}$p, r/ such that f is the radial derivative of f and for each f$\small{\in}$B$\small{\^}$r/(i), f is the radial derivative of some element of B$\small{\^}$r/(i) if and only if, lim f(tz)= 0 for all z$\small{\in}$H.
Keywords
Language
English
Cited by
1.
WEIGHTED BLOCH SPACES AND SOME OPERATORS INDUCED BY RADIAL DERIVATIVES,;

대한수학회보, 2004. vol.41. 2, pp.307-317
2.
SOME DUALITY OF WEIGHTED BERGMAN SPACES OF THE HALF-PLANE,;

대한수학회보, 2005. vol.42. 2, pp.387-396
1.
Composition operators from the weighted Bergman space to the nth weighted-type space on the upper half-plane, Applied Mathematics and Computation, 2010, 217, 7, 3379
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