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On the hyperreflexivity of subspaces of Toeplitz operators on regions in the complex plane

Młocek W., Ptak M.

Opuscula Mathematica

2014

Vol. 34, no. 3

561--567

The results of hyperreflexivity or 2-hyperreflexivity for subspaces of Toeplitz operators on the Hardy spaces on Jordan regions or upper half-plane are given.

Integral operator which preserves the univalence in the upper half-plane

Blezu D., Pascu N. N., Pascu R. N.

Demonstratio Mathematica

2003

Vol. 36, nr 1

77--81

In this paper, using the Pfaltzgraff integral operator and the so called "parametric circles method" introduced by N. N.Pascu (1999), we can obtain an univalence criterion for the analytic function denned in the upper half-plane and also for comparison two univalence criteria obtained by a simple composition of functions.