Hölder norm estimate for the fractal Hilbert transform in Douglis analysis

Yudier Peña Pérez; Martín P. Árciga Alejandre; Ricardo Abreu Blaya; Juan Bory Reyes

doi:10.1186/s13660-017-1488-7

Hölder norm estimate for the fractal Hilbert transform in Douglis analysis

Yudier Peña Pérez, Martín P. Árciga Alejandre, Ricardo Abreu Blaya, Juan Bory Reyes

Escuela Superior de Ingeniería Mecánica y Eléctrica (ESIME), Unidad Zacatenco

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Abstract

The main goal of this paper is to estimate the Hölder norm of a fractal version of the Hilbert transform in the Douglis analysis context acting from Hölder spaces of Douglis algebra valued functions defined on h-summable curves.

Original language	English
Article number	213
Journal	Journal of Inequalities and Applications
Volume	2017
DOIs	https://doi.org/10.1186/s13660-017-1488-7
State	Published - 2017

Keywords

Hilbert transform
Hölder functions
Whitney decomposition
fractal dimensions
h-summables curves
hyperanalytic functions

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10.1186/s13660-017-1488-7

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title = "H{\"o}lder norm estimate for the fractal Hilbert transform in Douglis analysis",

abstract = "The main goal of this paper is to estimate the H{\"o}lder norm of a fractal version of the Hilbert transform in the Douglis analysis context acting from H{\"o}lder spaces of Douglis algebra valued functions defined on h-summable curves.",

keywords = "Hilbert transform, H{\"o}lder functions, Whitney decomposition, fractal dimensions, h-summables curves, hyperanalytic functions",

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AU - Peña Pérez, Yudier

AU - Árciga Alejandre, Martín P.

AU - Abreu Blaya, Ricardo

AU - Bory Reyes, Juan

PY - 2017

Y1 - 2017

N2 - The main goal of this paper is to estimate the Hölder norm of a fractal version of the Hilbert transform in the Douglis analysis context acting from Hölder spaces of Douglis algebra valued functions defined on h-summable curves.

AB - The main goal of this paper is to estimate the Hölder norm of a fractal version of the Hilbert transform in the Douglis analysis context acting from Hölder spaces of Douglis algebra valued functions defined on h-summable curves.

KW - Hilbert transform

KW - Hölder functions

KW - Whitney decomposition

KW - fractal dimensions

KW - h-summables curves

KW - hyperanalytic functions

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DO - 10.1186/s13660-017-1488-7

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SN - 1025-5834

VL - 2017

JO - Journal of Inequalities and Applications

JF - Journal of Inequalities and Applications

M1 - 213

ER -

Hölder norm estimate for the fractal Hilbert transform in Douglis analysis

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Keywords

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