Communications in Mathematical Analysis

Hölder Norm of a Fractal Hilbert Transform in Douglis Analysis

R. Abreu-Blaya, J. Bory-Reyes, and J. M. Vilaire

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Abstract

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.

Article information

Source
Commun. Math. Anal., Volume 16, Number 2 (2014), 1-8.

Dates
First available in Project Euclid: 20 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.cma/1413810434

Mathematical Reviews number (MathSciNet)
MR3270573

Zentralblatt MATH identifier
1320.30081

Subjects
Primary: 30E20: Integration, integrals of Cauchy type, integral representations of analytic functions [See also 45Exx] 30E25: Boundary value problems [See also 45Exx]
Secondary: 45E05: Integral equations with kernels of Cauchy type [See also 35J15]

Keywords
Hyperanalytic functions fractal dimensions Whitney decomposition Hilbert transform Hölder functions

Citation

Abreu-Blaya, R.; Bory-Reyes, J.; Vilaire, J. M. Hölder Norm of a Fractal Hilbert Transform in Douglis Analysis. Commun. Math. Anal. 16 (2014), no. 2, 1--8. https://projecteuclid.org/euclid.cma/1413810434


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