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In the setting of the half-plane of the complex plane, we show that for r > $-{\frac{1}{2}}$, the dual space of the weighted Bergman spaces $B^{1,r}$ is the Bloch space and we introduce some operators. We also study Toeplitz and Hankel operators and we find some characterization of Hankel operators.
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참고문헌 (5)
참고문헌 신청
S.Axler / 1986 / The Bergman Space, The Bloch Space, and Commutators of Multiplication Operators / Duke Math. J 53(2):315~332
S.G.Gindkin / 1964 / Analysis in Homogeneous Domains / Usp. Matern. Nauk 19(4):1~88
H. Hedenmalm / 2000 / Theory of Bergman Spaces / Springer-Verlag
J.Y.Kim / 2000 / Weighted Analytic Bergman Spaces of the Half Plane and Their Toeplitz Operators
K.Zhu / 1990 / Operator Theory in Function Spaces / Marcel Dekker, Inc
S.G.Gindkin / 1964 / Analysis in Homogeneous Domains / Usp. Matern. Nauk 19(4):1~88
H. Hedenmalm / 2000 / Theory of Bergman Spaces / Springer-Verlag
J.Y.Kim / 2000 / Weighted Analytic Bergman Spaces of the Half Plane and Their Toeplitz Operators
K.Zhu / 1990 / Operator Theory in Function Spaces / Marcel Dekker, Inc
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