Subnormal generalized Hausdorff operators

Abstract

Abstract. One type of generalized Hausdorff matrix is the lower triangular matrix with entries h"k = (""-%)&!'~k»k, where Ae" = vn -v"+l, vn = J'¿7"+<* dß(t) for some ß(t) of bounded variation on [0, 1] and for some a > 0. The matrix Ha generated by v" = (n + a + 1)_1 is shown to be a subnormal operator on I2 if a is a nonnegative integer.

Spectral sets of generalized Hausdorff matrices on spaces of holomorphic functions onD

“…has been object of study (or play a central role) in several papers, see for instance [18,26,32,33]. In particular, for ζ = 0, the Hausdorff matrix…”