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Hankel operators on standard Bergman spaces

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We study Hankel operators on the standard Bergman spaces $A^{2}_{\alpha}, \alpha > -1$. A description of the boundedness and compactness of the (big) Hankel operator $H_f$ with general symbols $f \in L^2 (\mathbb{D}, d A_\alpha)$ is obtained. Also, we provide a new proof of a result of Arazy-Fisher-Peetre on the membership in Schatten $p$-classes of Hankel operators with conjugate analytic symbols.

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Complex Analysis and Operator Theory, 2013, vol. 7, num. 4, p. 1239-1256

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Articles publicats en revistes (Matemàtiques i Informàtica)

# metadata.dc.title[].value
Hankel operators on standard Bergman spaces