Generalization of N. A. Davydov's theorem (Q1397503)
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scientific article; zbMATH DE number 1960462
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generalization of N. A. Davydov's theorem |
scientific article; zbMATH DE number 1960462 |
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Generalization of N. A. Davydov's theorem (English)
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6 August 2003
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The author studies the boundedness of the integral \((2 \pi i)^{-1} \int_{\Gamma} f(t) (t-z)^{-1} dt\) for Hölder continuous functions \(f\) on the non-rectifiable curve \(\Gamma\). The results are closely related to the theory of Krzyż--Partyka [see, for instance, \textit{D. Partyka}, Diss. Math. 366, 125 p. (1997; Zbl 0885.30014)].
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Cauchy type integral
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non-rectifiable curve
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