Invariant subspace for a singular integral operator on Ahlfors David surfaces

Juan Bory Reyes; Ricardo Abreu Blaya

doi:10.36045/bbms/1102714795

Invariant subspace for a singular integral operator on Ahlfors David surfaces

Juan Bory Reyes, Ricardo Abreu Blaya

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

4 Scopus citations

Abstract

In this paper the singular integral operator on Ahlfors-David surfaces is shown to have an invariant subspace of the generalized Hölder continuous function space. We study the problem in the context of Quaternionic Analysis. Two equivalent norms on certain quaternionic monogenic functions subspace are treated.

Original language	English
Pages (from-to)	673-683
Number of pages	11
Journal	Bulletin of the Belgian Mathematical Society - Simon Stevin
Volume	8
Issue number	4
DOIs	https://doi.org/10.36045/bbms/1102714795
State	Published - 2001
Externally published	Yes

Keywords

Ahlfors David surfaces
Quaternionic analysis
Singular integral

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10.36045/bbms/1102714795

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title = "Invariant subspace for a singular integral operator on Ahlfors David surfaces",

abstract = "In this paper the singular integral operator on Ahlfors-David surfaces is shown to have an invariant subspace of the generalized H{\"o}lder continuous function space. We study the problem in the context of Quaternionic Analysis. Two equivalent norms on certain quaternionic monogenic functions subspace are treated.",

keywords = "Ahlfors David surfaces, Quaternionic analysis, Singular integral",

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AU - Blaya, Ricardo Abreu

PY - 2001

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AB - In this paper the singular integral operator on Ahlfors-David surfaces is shown to have an invariant subspace of the generalized Hölder continuous function space. We study the problem in the context of Quaternionic Analysis. Two equivalent norms on certain quaternionic monogenic functions subspace are treated.

KW - Ahlfors David surfaces

KW - Quaternionic analysis

KW - Singular integral

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U2 - 10.36045/bbms/1102714795

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M3 - Artículo

AN - SCOPUS:0035488673

SN - 1370-1444

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JO - Bulletin of the Belgian Mathematical Society - Simon Stevin

JF - Bulletin of the Belgian Mathematical Society - Simon Stevin

IS - 4

ER -

Invariant subspace for a singular integral operator on Ahlfors David surfaces

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Keywords

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