210 citations · 530 across the 38 of their papers we have counts for
6 papers · 1 filter
Ideal membership in : Toeplitz corona approach
Michael Hartz, Brett D. Wick
We study the ideal membership problem in on the unit disc. Thus, given functions in , we seek sufficient conditions on the size of in or…
Factorizations induced by complete Nevanlinna-Pick factors
Alexandru Aleman, Michael Hartz, John E. McCarthy +1
We prove a factorization theorem for reproducing kernel Hilbert spaces whose kernel has a normalized complete Nevanlinna-Pick factor. This result relates the functions in the origi…
A multiplier algebra functional calculus
Kelly Bickel, Michael Hartz, John E. McCarthy
This paper generalizes the classical Sz.-Nagy--Foias functional calculus for Hilbert space contractions. In particular, we replace the single contraction $…
Henkin measures for the Drury-Arveson space
Michael Hartz
We exhibit Borel probability measures on the unit sphere in for which are Henkin for the multiplier algebra of the Drury-Arveson space, but not Henkin in th…
The Smirnov class for spaces with the complete Pick property
Alexandru Aleman, Michael Hartz, John E. McCarthy +1
We show that every function in a reproducing kernel Hilbert space with a normalized complete Pick kernel is the quotient of a multiplier and a cyclic multiplier. This extends a the…
Interpolating sequences in spaces with the complete Pick property
Alexandru Aleman, Michael Hartz, John E. McCarthy +1
We characterize interpolating sequences for multiplier algebras of spaces with the complete Pick property. Specifically, we show that a sequence is interpolating if and only if it…