Oscillation and variation inequalities for the multilinear singular integrals related to Lipschitz functions

Oscillation and variation inequalities for the multilinear singular integrals related to Lipschitz functions

The main purpose of this paper is to establish the weighted ( L p , L q ) inequalities of the oscillation and variation operators for the multilinear Calderón-Zygmund singular integral with a Lipschitz function.

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Veröffentlicht in:Journal of inequalities and applications 2017, Vol.2017 (1), p.292-14, Article 292
Hauptverfasser: Hu, Yue, Wang, Yueshan
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Applications of Mathematics
Inequalities
Integrals
Lipschitz function
Mathematics
Mathematics and Statistics
multilinear operator
Operators (mathematics)
oscillation operator
variation operator
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Zusammenfassung:The main purpose of this paper is to establish the weighted ( L p , L q ) inequalities of the oscillation and variation operators for the multilinear Calderón-Zygmund singular integral with a Lipschitz function.
ISSN:1025-5834
1029-242X
1029-242X
DOI:10.1186/s13660-017-1568-8