Hokkaido Mathematical Journal

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 $S_{\Phi,\Psi}$ with trigonometric polynomial symbols $\Phi$ and $\Psi$. Next, we concentrate on the hyponormality of $S_{\Phi,\Psi}$ with some assumptions for the symbols $\Phi$ and $\Psi$.

Article information

Source
Hokkaido Math. J., Volume 48, Number 2 (2019), 443-459.

Dates
First available in Project Euclid: 11 July 2019

https://projecteuclid.org/euclid.hokmj/1562810519

Digital Object Identifier
doi:10.14492/hokmj/1562810519

Mathematical Reviews number (MathSciNet)
MR3980952

Zentralblatt MATH identifier
07080104

Citation

KIM, Yoenha; KO, Eungil; LEE, Jongrak; NAKAZI, Takahiko. Hyponormality of singular Cauchy integral operators with matrix-valued symbols. Hokkaido Math. J. 48 (2019), no. 2, 443--459. doi:10.14492/hokmj/1562810519. https://projecteuclid.org/euclid.hokmj/1562810519