40 citations · 64 across the 23 of their papers we have counts for
31 papers
Models of holomorphic functions on the symmetrized skew bidisc
Connor Evans, Zinaida A. Lykova, N. J. Young
The purpose of this paper is to develop the theory of holomorphic functions with modulus bounded by on the symmetrized skew bidisc \[ \mathbb{G}_{r} \stackrel{\rm def}{=} \Big\…
Boundary behavior of functions in the Schur-Agler class of the polydisc
Jim Agler, Connor Evans, Zinaida Lykova +1
We describe a generalization of the notion of a Hilbert space model of a function in the Schur-Agler class of the polydisc. This generalization is well adapted to the investiga…
Function theory on the annulus in the dp-norm
Jim Agler, Zinaida Lykova, N. J. Young
In this paper we shall use realization theory to prove new results about a class of holomorphic functions on an annulus \[R_δ\stackrel{\rm def}{=} \{z \in \mathbb{C}: δ<|z|<1\},\]…
Function theory in the bfd-norm on an elliptical region
Jim Agler, Zinaida Lykova, Nicholas Young
Let be the open region in the complex plane bounded by an ellipse. The B. and F. Delyon norm on the space of holomorphic functions…
On the Operators with Numerical Range in an Ellipse
Jim Agler, Zinaida A. Lykova, N. J. Young
We give new necessary and sufficient conditions for the numerical range of an operator to be a subset of the closed elliptical set $K_δ\subs…
A Schwarz lemma for the pentablock
Nujood M. Alshehri, Zinaida A. Lykova
In this paper we prove a Schwarz lemma for the pentablock. The set \[ \mathcal{P}=\{(a_{21}, \text{tr} \ A, \det A) : A=[a_{ij}]_{i,j=1}^2 \in \mathbb{B}^{2\times 2}\} \] where $\m…