J. Cima

activity

20072018

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math.CV2018

One-component inner functions II

Raymond Mortini, Joseph Cima

We continue our study of the set $I_{c}$ of inner functions $u$ in $H^{\infty}$ with the property that there is $η \in] 0, 1 [$ such that the level set $Ω_u(η):=\{z\in\mathbb D:…

math.CV2017

One-component inner functions

Joseph Cima, Raymond Mortini

We explicitely unveil several classes of inner functions $u$ in $H^{\infty}$ with the property that there is $η \in] 0, 1 [$ such that the level set $Ω_u(η):=\{z\in\mathbb D: |u(z)|<η\}…

math.CV2011

Projective Hulls and Characterizations of Meromorphic Functions

J. T. Anderson, J. A. Cima, N. Levenberg +1

We give conditions characterizing holomorphic and meromorphic functions in the unit disk of the complex plane in terms of certain weak forms of the maximum principle. Our work is d…

math.CV2007

The Caratheodory-Cartan-Kaup-Wu theorem on an infinite dimensional Hilbert space

Joseph Cima, Ian Graham, Kang-Tae Kim +1

This paper treats a holomorphic self-mapping f: Omega --> Omega of a bounded domain Omega in a separable Hilbert space H with a fixed point p. In case the domain is convex, we prov…