SOME DUALITY OF WEIGHTED BERGMAN SPACES OF THE HALF-PLANE

Title & Authors
SOME DUALITY OF WEIGHTED BERGMAN SPACES OF THE HALF-PLANE
KANG, SI-HO;

Abstract
In the setting of the half-plane of the complex plane, we introduce a modified reproducing kernel and we show that for \$r>-1/2,\;B^{1,r}-cancellation\$ property holds and the Bloch space is the dual space of $\small{B^{1,r}}$.
Keywords
dual space, weighted Bergman space;modified Bergman kernels;half-plane;radial derivatives;Mobius transform;
Language
English
Cited by
1.
HYPONORMAL TOEPLITZ OPERATORS ON THE BERGMAN SPACE. II.,;;

대한수학회보, 2007. vol.44. 3, pp.517-522
1.
On Toeplitz Operators on the Weighted Harmonic Bergman Space on the Upper Half-Plane, Complex Analysis and Operator Theory, 2015, 9, 1, 139
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