Yong Chan Kim

most citedOn univalence of the power deformation

z (f (z) / z)^{c}

2 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

math.CV2011★ 2 cited

On univalence of the power deformation $z (f (z) / z)^{c}$

Yong Chan Kim, Toshiyuki Sugawa

In this note, we mainly concern the set $U_{f}$ of $c \in C$ such that the power deformation $z (f (z) / z)^{c}$ is univalent in the unit disk $∣ z ∣ < 1$ for a given analytic univalent…

math.CV2011

On power deformations of univalent functions

Yong Chan Kim, Toshiyuki Sugawa

For an analytic function $f (z)$ on the unit disk $∣ z ∣ < 1$ with $f (0) = f^{'} (0) - 1 = 0$ and $f (z) \neq = 0, 0 < ∣ z ∣ < 1,$ we consider the power deformation $f_{c} (z) = z (f (z) / z)^{c}$ for a complex number…

math.CV2010

Hardy spaces and unbounded quasidisks

Yong Chan Kim, Toshiyuki Sugawa

We study the maximal number $0 \leq h \leq + \infty$ for a given plane domain $Ω$ such that $f \in H^{p}$ whenever $p < h$ and $f$ is analytic in the unit disk with values in $Ω.$ One of our…

On univalence of the power deformation z(f(z)/z)c

On power deformations of univalent functions

Hardy spaces and unbounded quasidisks

On univalence of the power deformation $z (f (z) / z)^{c}$