Weighted variation inequalities for differential operators and singular integrals in higher dimensions

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TitreWeighted variation inequalities for differential operators and singular integrals in higher dimensions
Type de publicationJournal Article
Year of Publication2017
AuteursMa T, Torrea JL, Xu QH
JournalSCIENCE CHINA-MATHEMATICS
Volume60
Pagination1419-1442
Date PublishedAUG
Type of ArticleArticle
ISSN1674-7283
Mots-clésA(p) weights, differential operators, singular integrals, variation inequalities, vector-valued variation inequalities
Résumé

We prove weighted q-variation inequalities with 2 < q < infinity for sharp truncations of singular integral operators in higher dimensions. The vector-valued extensions of these inequalities are also given. Parallel results are proven for differential operators.

DOI10.1007/s11425-016-9012-7