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Weighted variation inequalities for differential operators and singular integrals in higher dimensions 被引量:8

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摘要 We prove weighted q-variation inequalities with 2<q<∞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. We prove weighted q-variation inequalities with 2 〈 q 〈 θ 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.
出处 《Science China Mathematics》 SCIE CSCD 2017年第8期1419-1442,共24页 中国科学:数学(英文版)
基金 supported by National Natural Science Foundation of China(Grant Nos.11671308 and 11431011) Ministerio de Economia y Competitividad/al Fondo Europeo de Desarrollo Regional(Grant No.MTM2015-66157-C2-1-P)
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