Toeplitz and Hankel type operators on the upper half-plane
An orthogonal decomposition of admissible wavelets is constructed via the Laguerre polynomials, it turns to give a complete decomposition of the space of square integrable functions on the upper half-plane with the measure \(y^ 2 dx dy\). Three types of Toeplitz and Hankel operators are defined, they are the generalization of classical Toeplitz and Hankel operators respectively. Their boundedness, compactness and Schatten-von Neumann properties are studied.
orthogonal decomposition of admissible wavelets
complete decomposition of the space of square integrable functions on the upper half-plane
scientific article; zbMATH DE number 222147