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math.CV2018★ 2 cited
Characterizations of some domains via Carathéodory extremals
J. Agler, Z. A. Lykova, N. J. Young
In this paper we characterize the unit disc, the bidisc and the symmetrized bidisc \[ G =\{(z+w,zw):|z|<1,\ |w|<1\} \] in terms of the possession of small classes of analytic maps…
math.CV2018
Analytic interpolation into the tetrablock and a -synthesis problem
Z. A. Lykova, N. J. Young, A. Ajibo
We give a solvability criterion for a special case of the -synthesis problem. That is, we prove the necessity and sufficiency of a condition for the existence of an analytic $2…