Please use this identifier to cite or link to this item: http://hdl.handle.net/2445/96731
 Title: Hankel operators on standard Bergman spaces Author: Pau, Jordi Keywords: Funcions de variables complexesFuncions analítiquesOperadors linealsNuclis de BergmanFunctions of complex variablesAnalytic functionsLinear operatorsBergman kernel functions Issue Date: 2013 Publisher: Springer Verlag Abstract: 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. Note: Versió postprint del document publicat a: http://dx.doi.org/10.1007/s11785-011-0209-3 It is part of: Complex Analysis and Operator Theory, 2013, vol. 7, num. 4, p. 1239-1256 URI: http://hdl.handle.net/2445/96731 Related resource: http://dx.doi.org/10.1007/s11785-011-0209-3 ISSN: 1661-8254 Appears in Collections: Articles publicats en revistes (Matemàtiques i Informàtica)

Files in This Item:
File Description SizeFormat