4 citations · 5 across the 7 of their papers we have counts for
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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…
Interpolation by holomorphic maps from the disc to the tetrablock
Hadi O. Alshammari, Zinaida A. Lykova
The tetrablock is the set The closure of is denot…
Rational tetra-inner functions and the special variety of the tetrablock
Omar M. O. Alsalhi, Zinaida A. Lykova
The set \[ \overline{\mathbb{E}}= \{ x \in {\mathbb{C}}^3: \quad 1-x_1 z - x_2 w + x_3 zw \neq 0 \mbox{ whenever } |z| < 1, |w| < 1 \} \] is called the tetrablock and has intriguin…