Toeplitz operators from one Fock space to another (Q645121)

The authors characterize the boundedness and compactness of Toeplitz operators with positive Borel measure as a symbol which act from one weighted Fock space \(F^p_{\alpha}\) to another \(F^q_{\alpha}\), where \(1<p,q< \infty\). The tools used include the averaging function, Berezin transform, and \((p,q)\)-Fock Carleson measure on \(\mathbb{C}^n\).