4 citations · 5 across the 6 of their papers we have counts for
6 papers
Continuous boundary values of conformal maps
Zhijian Qiu
Let be a bounded simply connected domain in the complex plane. A point is said to be accessible from inside of if there is a Jordan arc such that $J\s…
Beurling's Theorem And Invariant Subspaces For The Shift On Hardy Spaces
Zhijian Qiu
Let be a bounded open subset in the complex plane and let denote the Hardy space on . We call a bounded simply connected domain perfectly connected if the bou…
The Structure of the Closure of the Rational Functions in ()$
Zhijian Qiu
Let be a compact subset in the complex plane and let be the uniform closure of the functions continuous on and analytic on . Let be a positive finite…
Continuous extension of conformal maps
Zhijian Qiu
For a simply connected domain , let be the set of accessible points in and let . A point i…
The Riemann Mapping Problem
Zhijian Qiu
In this article we investigate the century-old continuous extension problem of the Riemann map. Let be a simply connected domain. We call in a multiple point i…
Carleson measures on planar sets
Zhijian Qiu
In this paper, we investigate what are Carleson measures on open subsets in the complex plane. A circular domain is a connected open subset whose boundary consists of finitely many…