  Starting from a doubly infinite sequence of complex numbers, the aim of this
paper is to extend certain Markov inequalities for the determinant of Hankel
matrices and the zeros of the corresponding orthogonal polynomials on the real
line (A. Markov in Notes of the Imperial Academy of Sciences, St. Petersburg,
74 (Appendix n. 2) (1894) 1-30. English translation, by J. Shohat, Duke Math.
J. 7 (1940), 85-96) to the Toeplitz case, where the central role is played by
CD kernels and paraorthogonal polynomials on the unit circle. In particular, we
consider the case in which the starting sequence is a two-sided P\'olya
frequency sequence.
