A HANKEL MATRIX ACTING ON FOCK SPACES.

Let n be a positive Borel measure on the interval [0;¥). Let H_v =(V_n,k)_n,k≥0 be the Hankel matrix with entries V_n,k = F[0;¥) t^n+k/_n! dv(t). The matrix Hn induces formally the operator H_v (f)(z)=...k=0 nn;kak)zn on the space of all entire functions f(z)=... In this paper, we investigate those positive Borel measures such thatHn (f...F_p, and among them we characterize those for which Hn is a bounded (resp., compact) operator from the Fock space F^q into the space Fq (...). [ABSTRACT FROM AUTHOR]