Weighted slant Toep-Hank Operators

Document Type : Research Articles

Authors

¹ Department of Mathematics, PGDAV College, University of Delhi Delhi-110065

² Department of Mathematics, University of Delhi, Delhi-110007, India.

Abstract

w e i g h t e d s l a n t T o e p

H a n k

operator

L_{ϕ}^{β}

with symbol

ϕ \in L^{\infty} (β)

is an operator on

L^{2} (β)

whose representing matrix consists of all even (odd) columns from a weighted slant Hankel (slant weighted Toeplitz) matrix,

β = {β_{n}}_{n \in Z}

be a sequence of positive numbers with

β_{0} = 1

. A matrix characterization for an operator to be

w e i g h t e d s l a n t T o e p

H a n k

operator is also obtained.

Keywords