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• W1966303764 abstract "A Hilbert transform for Holder continuous circulant (2 × 2) matrix functions, on the d-summable (or fractal) boundary Γ of a Jordan domain Ω in ℝ2n , has recently been introduced within the framework of Hermitean Clifford analysis. The main goal of the present paper is to estimate the Holder norm of this Hermitean Hilbert transform. The expression for the upper bound of this norm is given in terms of the Holder exponents, the diameter of Γ and a specific d-sum (d > d) of the Whitney decomposition of Ω. The result is shown to include the case of a more standard Hilbert transform for domains with left Ahlfors-David regular boundary." @default.
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• W1966303764 date "2012-03-28" @default.
• W1966303764 modified "2023-10-16" @default.
• W1966303764 title "Hölder norm estimate for a Hilbert transform in Hermitean Clifford analysis" @default.
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• W1966303764 doi "https://doi.org/10.1007/s10114-012-0377-8" @default.
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