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math.CV2022
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…
math.FA2022
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…