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This article is cited in 1 scientific paper (total in 1 paper)
On a class of exceptional sets in the theory of conformal mappings
N. G. Makarov
Abstract:
A subset $E$ of the unit circle $\partial\mathbf D$ is called an $L$-set if there exists a function univalent in the disc $\mathbf D$ mapping $E$ to a set of zero linear measure. Metric properties of $L$-sets are studied, and related problems of the radial behavior of Bloch functions are also considered.
Bibliography: 11 titles.
Received: 21.06.1988
Citation:
N. G. Makarov, “On a class of exceptional sets in the theory of conformal mappings”, Mat. Sb., 180:9 (1989), 1171–1182; Math. USSR-Sb., 68:1 (1991), 19–30
Linking options:
https://www.mathnet.ru/eng/sm1655https://doi.org/10.1070/SM1991v068n01ABEH001370 https://www.mathnet.ru/eng/sm/v180/i9/p1171
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Abstract page: | 244 | Russian version PDF: | 106 | English version PDF: | 6 | References: | 30 | First page: | 1 |
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