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Hankel operators with unbounded symbols
Authors:P. Ahern   E. H. Youssfi
Affiliation:Department of Mathematics, University of Wisconsin, 480 Lincoln Drive, Madison, Wisconsin 53705 ; LATP, U.M.R. C.N.R.S. 6632, CMI, Université de Provence, 39 Rue F-Joliot-Curie, 13453 Marseille Cedex 13, France
Abstract:We prove that there are holomorphic functions $ f$ in the Hardy space of the unit ball or the bidisc such that the big Hankel operator with symbol $ bar f$ is bounded and for any holomorphic function $ g$ the function $ bar f + g$ cannot be bounded.

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