Analogue of slant Hankel operators on the Lebesgue space of n-torus

摘要

In this paper, the multivariate analogue of slant Hankel operator on L-2 (T-n), (n >= 1, a natural number), the Lebesgue space of square integrable functions defined on Tn, where T is the unit circle, is introduced. Various characterizations are obtained for a bounded operator on L-2(T-n) to be a kth- order slant Hankel operator (k >= 2, a fixed integer).