Toeplitz and weighted Toeplitz operators on weighted sequence spaces

Abstract

Weighted Toeplitz operator T_φ^β on H²(β) with φ ∈ L^∞(β) is defined as T_φ^β = P^β M_φ^β, where P^β is the orthogonal projection of L²(β) onto H²(β). The paper describes some properties of weighted Toeplitz operators induced by some specific symbols.