Abstract
A Jordan domain with a smooth nowhere analytic boundary and a function that is bianalytic in this domain, belongs to the class Lip1 in its closure, vanishes on the boundary, but is not identically zero are constructed.
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Translated fromMatematicheskie Zametki, Vol. 62, No. 4, pp. 629–632, October, 1997.
Translated by O. V. Sipacheva
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Mazalov, M.Y. An example of a nonconstant bianalytic function vanishing everywhere on a nowhere analytic boundary. Math Notes 62, 524–526 (1997). https://doi.org/10.1007/BF02358988
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DOI: https://doi.org/10.1007/BF02358988