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THE RADIAL DERIVATIVES ON WEIGHTED BERGMAN SPACES
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 Title & Authors
THE RADIAL DERIVATIVES ON WEIGHTED BERGMAN SPACES
Kang, Si-Ho; Kim, Ja-Young;
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 Abstract
We consider weighted Bergman spaces and radial derivatives on the spaces. We also prove that for each element f in Bp, r/ there is a unique f in Bp, r/ such that f is the radial derivative of f and for each fBr/(i), f is the radial derivative of some element of Br/(i) if and only if, lim f(tz)= 0 for all zH.
 Keywords
weighted Bergman spaces;Bergman kernels;half-plane;radial derivatives;
 Language
English
 Cited by
1.
WEIGHTED BLOCH SPACES AND SOME OPERATORS INDUCED BY RADIAL DERIVATIVES,;

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

대한수학회보, 2005. vol.42. 2, pp.387-396 crossref(new window)
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  crossref(new windwow)
 References
1.
Harmonic Function Theory, 1992.

2.
Pitman Research Notes in Math., 1988. vol.171. pp.1-50

3.
Harmonic Bergman Fuctions as Radical Derivatives of Bergman Functions, Preprint, 0000.

4.
Bounded Analytic Functions, 1981.

5.
Bull. Korean Math. Soc., 2000. vol.37. 3, pp.437-450

6.
Operator Theory in Function Spaces, 1990.