
doi: 10.2298/fil2005689d
The present paper introduces the class of weighted generalized composition operators of higher order defined on the weighted Hardy spaces. The study of bounded operators belonging to this class is undertaken and an attempt is made to describe their structural and spectral properties.
Linear composition operators, Fourier coefficients, Hilbert-Schmidt operator, generalized composition operator, weighted Hardy spaces, generalized multiplication operator, Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.)
Linear composition operators, Fourier coefficients, Hilbert-Schmidt operator, generalized composition operator, weighted Hardy spaces, generalized multiplication operator, Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.)
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