Products of Compressions of $$k^{th}$$–Order Slant Toeplitz Operators to Model Spaces

Abstract In this paper we investigate intertwining relations for compressions of $$k^{th}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mi>k</mml:mi> <mml:mrow> <mml:mi>th</mml:mi> </mml:mrow> </mml:msup> </mml:math> –order slant Toeplitz operators to model spaces. We then ask when a product of two such compressions is a compression itself.