MULTIVALUED QUASIMOBIUS MAPPINGS FROM CIRCLE TO CIRCLE

Aseev V. V.

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MULTIVALUED QUASIMOBIUS MAPPINGS FROM CIRCLE TO CIRCLE

机译：从圈到圈的多值Quasimobius映射

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摘要

We prove that if a multivalued mapping F of circle to circle has the eta-BAD property (bounded distortion of generalized angles with control function eta) then there exist a positive integer N and a quasimobius homeomorphism phi of a circle into itself such that the left inverse mapping to F is of the form (phi(z))(N). Moreover, phi is a locally omega-quasimobius mapping with omega depending only on eta and N.

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来源
《Siberian Mathematical Journal》 |2021年第1期|共9页
作者
Aseev V. V.;
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作者单位

Sobolev Inst Math Novosibirsk Russia;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
quasimobius mapping; quasisymmetric mapping; multivalued mapping; generalized angle; BAD property; local quasimobius property;

机译：Quasimobius映射;Quasismmetric映射;多值绘图;广义角度;不良财产;当地Quasimobius属性;

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MULTIVALUED QUASIMOBIUS MAPPINGS FROM CIRCLE TO CIRCLE

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