2 citations · 2 across the 4 of their papers we have counts for
7 papers
Indicatrix of Invariant metrics, Maximal circularity and Scaling of domains
Huda Alzaki, Jae-Cheon Joo
We investigate how to use the indicatrix of an invariant metric to rescale a sequence of biholomorphic maps and to ensure the convergence of the rescaled sequence. We also use the…
Almost CR manifolds with contracting CR automorphism
Jae-Cheon Joo, Kang-Hyurk Lee
In this paper, we deal with a strongly pseudoconvex almost CR manifold with a CR contraction. We will prove that the stable manifold of the CR contaction is CR equivalent to the He…
Extremal and stationary discs for the Kobayashi -metric
Florian Bertrand, Giuseppe Della Sala, Jae-Cheon Joo
We generalize Lempert's and Poletsky's works on the description of extremal discs for the Kobayashi metric to a higher order setting.
A generalization of the Greene-Krantz theorem for the semicontinuity property of automorphism groups
Jae-Cheon Joo
A CR version of the Greene-Krantz theorem \cite{GK} for the semicontinuity of complex automorphism groups will be provided. This is not only a generalization but also an intrinsic…
On the generalization of Forelli's theorem
Jae-Cheon Joo, Kang-Tae Kim, Gerd Schmalz
The purpose of this paper is to present a solution to perhaps the final remaining case in the line of study concerning the generalization of Forelli's theorem on the complex analyt…
Toeplitz operators on Fock-Sobolev type spaces
Hong Rae Cho, Joshua Isralowitz, Jae-Cheon Joo
In this paper, we characterize operator-theoretic properties (boundedness, compactness, and Schatten class membership) of Toeplitz operators with positive measure symbols on weight…