Hölder norm of a fractal Hilbert transform in Douglis analysis

Ricardo Abreu-Blaya; Juan Bory-Reyes; Jean Marie Vilaire

Hölder norm of a fractal Hilbert transform in Douglis analysis

Ricardo Abreu-Blaya, Juan Bory-Reyes, Jean Marie Vilaire

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	1-8
Number of pages	8
Journal	Communications in Mathematical Analysis
Volume	16
Issue number	2
State	Published - 2014
Externally published	Yes

Keywords

Fractal dimensions
Hilbert transform
Hyperanalytic functions
Hölder functions
Whitney decomposition

Cite this

@article{89d0ebb97ff44b09aafebe93c3a54d02,

title = "H{\"o}lder norm of a fractal Hilbert transform in Douglis analysis",

abstract = "We establish an upper bound for the norm of a fractal Hilbert transform in the space of H{\"o}lder analytic functions in the sense of Douglis.",

keywords = "Fractal dimensions, Hilbert transform, Hyperanalytic functions, H{\"o}lder functions, Whitney decomposition",

author = "Ricardo Abreu-Blaya and Juan Bory-Reyes and Vilaire, {Jean Marie}",

year = "2014",

language = "Ingl{\'e}s",

volume = "16",

pages = "1--8",

journal = "Communications in Mathematical Analysis",

issn = "1938-9787",

number = "2",

}

TY - JOUR

T1 - Hölder norm of a fractal Hilbert transform in Douglis analysis

AU - Abreu-Blaya, Ricardo

AU - Bory-Reyes, Juan

AU - Vilaire, Jean Marie

PY - 2014

Y1 - 2014

N2 - 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.

AB - 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.

KW - Fractal dimensions

KW - Hilbert transform

KW - Hyperanalytic functions

KW - Hölder functions

KW - Whitney decomposition

UR - http://www.scopus.com/inward/record.url?scp=84910118595&partnerID=8YFLogxK

M3 - Artículo

SN - 1938-9787

VL - 16

SP - 1

EP - 8

JO - Communications in Mathematical Analysis

JF - Communications in Mathematical Analysis

IS - 2

ER -

Hölder norm of a fractal Hilbert transform in Douglis analysis

Abstract

Keywords

Other files and links

Fingerprint

Cite this