Some bounds on $\ell_p$ matrix and $\ell_p$ operator norms of almost circulant, Cauchy-Toeplitz and Cauchy- Hankel matrices

Abstract

Let $C_n$ , $T_n$ and $H_n$ denote almost circulant, Cauchy-Toeplitz and Cauchy-Hankel matrices, respectively. We find some upper bounds for $\ell_p$ matrix norm and $\ell_p$ operator norm of this matrices. Moreover, we give some results for Kronecker products $C_n\bigotimesT_n$ and $C_n\bigotimesH_n$