Hyponormality of singular Cauchy integral operators with matrix-valued symbols

Abstract

In this paper, we study a class of hyponormal singular integral operators with matrix-valued symbols. First, we characterize hyponormal singular integral operators S-Phi,S-Psi with trigonometric polynomial symbols Phi and Psi. Next, we concentrate on the hyponormality of S-Phi,S-Psi with some assumptions for the symbols Phi and Psi.