Generalised Slant Weighted Toeplitz Operator

Authors: S. C. Arora, Ritu Kathuria

Abstract:

A slant weighted Toeplitz operator Aφ is an operator on L2(β) defined as Aφ = WMφ where Mφ is the weighted multiplication operator and W is an operator on L2(β) given by We2n = βn β2n en, {en}n∈Z being the orthonormal basis. In this paper, we generalise Aφ to the k-th order slant weighted Toeplitz operator Uφ and study its properties.

Keywords: Slant weighted Toeplitz operator, weighted multiplicationoperator.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1075475

References:

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