L p -general approximations by multivariate singular integral operators
Abstract: In this article, we study the Lp, 1 ≤ p < ∞ approximation properties of general multivariate singular integral operators over RN, N ≥ 1. We establish their convergence to the unit operator with rates. The established inequalities involve the multivariate higher order modulus of smoothness. We list the multivariate Picard, Gauss–Weierstrass, Poisson Cauchy and trigonometric singular integral operators where this theory can be applied directly.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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L p -general approximations by multivariate singular integral operators ; volume:46 ; number:3 ; year:2013 ; pages:491-502 ; extent:12
Demonstratio mathematica ; 46, Heft 3 (2013), 491-502 (gesamt 12)
- Creator
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Anastassiou, George A.
- DOI
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10.1515/dema-2013-0475
- URN
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urn:nbn:de:101:1-2411181444487.259167256976
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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15.08.2025, 7:25 AM CEST
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Associated
- Anastassiou, George A.
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