Journal
SBORNIK MATHEMATICS
Volume 194, Issue 1-2, Pages 63-88Publisher
TURPION LTD
DOI: 10.1070/SM2003v194n01ABEH000706
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Optimal Cartan-type covers by hyperbolic discs of carriers of Green alpha-potentials are obtained in a simply connected domain in. the complex plane and estimates of the potentials outside the carriers axe presented. These results are applied to problems on the separation of singularities of analytic and harmonic functions. For instance, uniform and integral estimates in terms of Green capacities of components of meromorphic functions are obtained.
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