On a class of inner functions in a half-space

F. A. Shamoyan

I. G. Petrovsky Bryansk State University, Bryansk, Russia

Abstract: In the paper we obtain necessary and sufficient conditions for the weight vector function, under which a given inner function is weakly invertible in the weighted functions of holomorphic functions in a tubular domain.

Keywords: weak invertibility, weighted spaces, tubular domain.

UDC: 517.53

MSC: 32А36, 32А37, 47А16, 47А15, 42В35

Received: 12.10.2015

 English version: Ufa Mathematical Journal, 2015, 7:4, 127–139

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