Fredholm theory of Toeplitz operators on standard weighted Fock spaces

Toeplitz Operators on Fock Spaces

Fredholm Properties of Toeplitz Operators on Dirichlet Spaces

In this paper, the Fredholm properties of some Toeplitz operators on Dirichlet spaces be discussed, and the essential spectra of Toeplitz operators with symbols in C 1 or H ∞ 1 + C 1 be computed.

On Weighted Toeplitz Operators

A weighted Toeplitz operator on H(β) is defined as Tφf = P (φf) where P is the projection from L(β) onto H(β) and the symbol φ ∈ L(β) for a given sequence β = 〈βn〉n∈Z of positive numbers. In this paper, a matrix characterization of a weighted multiplication operator on L(β) is given and it is used to deduce the same for a weighted Toeplitz operator. The eigenvalues of some weighted Toeplitz ope...

The Commutants of Certain Toeplitz Operators on Weighted Bergman Spaces

For α > −1, let A2α be the corresponding weighted Bergman space of the unit ball in C. For a bounded measurable function f , let Tf be the Toeplitz operator with symbol f on A 2 α. This paper describes all the functions f for which Tf commutes with a given Tg, where g(z) = z1 1 · · · z Ln n for strictly positive integers L1, . . . , Ln, or g(z) = |z1| s1 · · · |zn| nh(|z|) for non-negative real...

Hyponormal Toeplitz Operators on the Weighted Bergman Spaces

In this note we consider the hyponormality of Toeplitz operators Tφ on the Weighted Bergman space Aα(D) with symbol in the class of functions f + g with polynomials f and g of degree 2. Mathematics subject classification (2010): 47B20, 47B35.