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HARDY-LITTLEWOOD PROPERTY WITH THE INNER LENGTH METRIC
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 Title & Authors
HARDY-LITTLEWOOD PROPERTY WITH THE INNER LENGTH METRIC
Kim, Ki-Won;
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 Abstract
A result of Hardy and Littlewood relates Holder continuity of analytic functions in the unit disk with a bound on the derivative. Gehring and Martio extended this result to the class of uniform domains. We call it the Hardy-Littlewood property. Langmeyer further extended their result to the class of John disks in terms of the inner length metric. We call it the Hardy-Littlewood property with the inner length metric. In this paper we give several properties of a domain which satisfies the Hardy-Littlewood property with the inner length metric. Also we show some results on the Holder continuity of conjugate harmonic functions in various domains.
 Keywords
Hardy-Littlewood property with the inner length netric;John disk;Lipschitz class;
 Language
English
 Cited by
1.
Distortion of Quasiregular Mappings and Equivalent Norms on Lipschitz-Type Spaces, Abstract and Applied Analysis, 2014, 2014, 1  crossref(new windwow)
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