2017
Том 69
№ 6

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Tangential limit values of a biharmonic poisson integral in a disk

Hembars'ka S. B.

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Abstract

Let C 0 be a curve in a disk D={|z|<1} that is tangent to the circle at the point z=1, and let C θ be the result of rotation of this curve about the origin z=0 by an angle θ. We construct a bounded function biharmonic in D that has a zero normal derivative on the boundary and for which the limit along C θ does not exist for all θ, 0≤θ≤2π.

English version (Springer): Ukrainian Mathematical Journal 49 (1997), no. 9, pp 1317-1323.

Citation Example: Hembars'ka S. B. Tangential limit values of a biharmonic poisson integral in a disk // Ukr. Mat. Zh. - 1997. - 49, № 9. - pp. 1171–1176.

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