Cauchy singular integral operator with parameters in Log-H\"older spaces

11 Jan 2020 Pan Yifei Zhang Yuan

This paper is motivated by a claim in the classical textbook of Muskhelishvili concerning the Cauchy singular integral operator $S$ on H\"older functions with parameters. To the contrary of the claim, a counter example was constructed by Tumanov which shows that $S$ with parameters fails to maintain the same H\"older regularity with respect to the parameters... (read more)

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