Toeplitz operators in multidimensional spaces \(H^ p(\alpha)\) of M. M. Djrbashian. (English. Russian original) Zbl 0854.47015
J. Contemp. Math. Anal., Armen. Acad. Sci. 30, No. 2, 70-78 (1995); translation from Izv. Nats. Akad. Nauk Armen., Mat. 30, No. 2, 85-95 (1995).
Summary: The paper presents a complete characterization of those \(h\in L^1 (\mathbb{T}^n)\) for which the Toeplitz operator \(T_h (f)\) is a bounded operator acting in some weighted spaces \(H^p (\alpha)\) of functions \(f\) analytic in the unit polydisk \(U^n\) of \(\mathbb{C}^n\) having for \(\mathbb{T}^n\) a distinguished boundary.
MSC:
| 47B35 | Toeplitz operators, Hankel operators, Wiener-Hopf operators |
