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<p>We show that under some additional conditions, a plane ring <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(\omega \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>ω</mi> </math></EquationSource> </InlineEquation>-homeomorphism satisfies a generalized Poletsky modular inequality. In this way we can prove some results concerning the extension of continuity and the modulus of continuity around some “thin” exceptional sets.</p>

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On plane ring \(\omega \)-homeomorphisms

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年9月25日

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  • Mihai Cristea

摘要

We show that under some additional conditions, a plane ring \(\omega \) ω -homeomorphism satisfies a generalized Poletsky modular inequality. In this way we can prove some results concerning the extension of continuity and the modulus of continuity around some “thin” exceptional sets.