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Hölder norm of a fractal Hilbert transform in Douglis analysis. (English) Zbl 1320.30081

Summary: We establish an upper bound for the norm of a fractal Hilbert transform in the space of Hölder analytic functions in the sense of Douglis.

MSC:

30G30 Other generalizations of analytic functions (including abstract-valued functions)
30E20 Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane
30E25 Boundary value problems in the complex plane
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Full Text: Euclid