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

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：Hzw_56

【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

【作者】

：

MA Tao TORREA Jose L. XU QuanH

【机构】

：

SchoolofMathematicsandStatistics,DepartarnentodeMaterndticas,InstituteforAdvancedStudyinMathematics,

【出处】

：

中国科学：数学英文版

【发表日期】

：

2017年8期

【关键词】

：

奇异积分算子变分不等式微分算子加权高维向量值证明 variation inequalities Ap weights differential

【基金项目】

：

supported by National Natural Science Foundation of China （Grant Nos. 11671308 and 11431011）, Ministerio de Econom′？a y Competitividad/al Fondo Europeo de Desarrollo Regional （Grant No. MTM2015-66157-

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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.

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