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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.
Received: 12.10.2015
Citation:
F. A. Shamoyan, “On a class of inner functions in a half-space”, Ufa Math. J., 7:4 (2015), 127–139
Linking options:
https://www.mathnet.ru/eng/ufa308https://doi.org/10.13108/2015-7-4-127 https://www.mathnet.ru/eng/ufa/v7/i4/p133
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| Statistics & downloads: |
| Abstract page: | 335 | | Russian version PDF: | 112 | | English version PDF: | 27 | | References: | 63 |
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