30 citations · 83 across the 17 of their papers we have counts for
19 papers
A Hilbert space approach to singularities of functions
Jim Agler, Zinaida Lykova, N. J. Young
We introduce the notion of a pseudomultiplier of a Hilbert space of functions on a set . Roughly, a pseudomultiplier of is a function which multiplies…
Exterior powers and pointwise creation operators
Dimitrios Chiotis, Zinaida Lykova, N. J. Young
We develop a theory of pointwise wedge products of vector-valued functions on the circle and the disc, and obtain results which give rise to a new approach to the analysis of the m…
Calcular Algebras
Jim Agler, John E. McCarthy, Nicholas J. Young
A calcular algebra is a subalgebra of with norm given by as ranges over a given class of commutative -tuples of operators with Taylo…
A Geometric Characterization of the Symmetrized Bidisc
Jim Agler, Zinaida Lykova, N. J. Young
The symmetrized bidisc \[ G \stackrel{\rm{def}}{=}\{(z+w,zw):|z|<1,\ |w|<1\} \] has interesting geometric properties. While it has a plentiful supply of complex geodesics and of au…
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…
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…