Generalized Hankel operators on the Fock space II

In this paper we study boundedness of generalized Hankel operators of the form H-(z) over bark(l) : F-2(|z|(2)) -> L-2(|z|(2)) and thereby extend our results from [10]. Here, H-(z) over bark(l)(f) := (Id-P-l) ((z) over bar (k) f) and P-l is the projection onto A(l)(2)(C, |z|(2)) := cl(span{(z) over bar (m)z(n)|m, n is an element of N, m <= l}). Additionally, we extend our results to general conjugate-holomorphic L-2 symbols. The arguments applied show a tight connection between operator theory and combinatorics. (C) 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim