Inner continuation of regular functions and a problem of Kaufman. (English. Russian original) Zbl 0684.30002
Ukr. Math. J. 41, No. 3, 361-364 (1989); translation from Ukr. Mat. Zh. 41, No. 3, 408-412 (1989).
See the review in Zbl 0671.30002.
MSC:
| 30B40 | Analytic continuation of functions of one complex variable |
References:
| [1] | R. Kaufman, ?Null sets and analytic continuation,? Ukr. Mat. Zh.,260, 63-65 (1982). · Zbl 0468.30004 |
| [2] | J. A. Jenkins, Univalent Functions and Conformal Mapping, Springer-Verlag, New York (1965). · Zbl 0163.09801 |
| [3] | M. Jurchescu, ?Modulus of a boundary component,? Pacif. J. Math.,8, 791-809 (1958). · Zbl 0084.28201 |
| [4] | L. Ahlfors and A. Beurling, ?Conformai invariants and function-theoretic null-set,? Acta Math.,83, 101-129 (1950). · Zbl 0041.20301 · doi:10.1007/BF02392634 |
| [5] | S. Stoilow, Lectures on the Topological Principles of the Theory of Analytic Functions [Russian translation], Nauka, Moscow (1964). |
| [6] | S. Stoilow, Theory of a Complex Variable [Russian translation], IL, Moscow (1962). |
| [7] | V. A. Shlyk, ?Comments on the theory of nonunivalent mappings of multiply connected. regions,? Zap. LOMI,112, 184-197 (1981). · Zbl 0482.30010 |
| [8] | P. M. Tamrazov, ?Conformally invariant modules and circular symmetrization,? in: Metric Problems in the Theory of Functions and Mappings [in Russian], Naukova Dumka, Kiev (1974), Part 5, pp. 127-146. |
| [9] | K. Strebel, ?On the maximal dilation of quasiconformal mappings,? Proc. Am. Math. Soc.,6, 903-909 (1955). · Zbl 0066.06001 · doi:10.1090/S0002-9939-1955-0073702-X |
| [10] | E. L. Stout, ?A generalization of a theorem of Rado,? Math. Ann.,37, 339-340 (1968). · Zbl 0181.35503 · doi:10.1007/BF01350724 |
| [11] | E. F. Collingwood and A. J. Lohwater, The Theory of Cluster Sets, Cambridge Univ. Press, Cambridge (1966). · Zbl 0149.03003 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
