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Variation and oscillation inequalities for commutators in two-weight setting
Forum Mathematicum ( IF 0.8 ) Pub Date : 2020-11-01 , DOI: 10.1515/forum-2019-0217 Yongming Wen 1 , Weichao Guo 2 , Huoxiong Wu 1
Forum Mathematicum ( IF 0.8 ) Pub Date : 2020-11-01 , DOI: 10.1515/forum-2019-0217 Yongming Wen 1 , Weichao Guo 2 , Huoxiong Wu 1
Affiliation
Abstract This paper studies the two-weight estimates of variation and oscillation operators for commutators of singular integrals with weighted BMO {\mathrm{BMO}} functions. A new characterization of weighted BMO {\mathrm{BMO}} spaces via the boundedness of variation and oscillation operators for the iterated commutators of Calderón–Zygmund singular integrals in the two-weight setting is given.
中文翻译:
两权重设置换向器的变化和振荡不等式
摘要 本文研究了带加权BMO {\mathrm{BMO}} 函数的奇异积分的换向器的变分和振荡算子的二权重估计。给出了加权 BMO {\mathrm{BMO}} 空间的新表征,通过变化有界和振荡算子在两个权重设置中 Calderón-Zygmund 奇异积分的迭代交换子。
更新日期:2020-11-01
中文翻译:
两权重设置换向器的变化和振荡不等式
摘要 本文研究了带加权BMO {\mathrm{BMO}} 函数的奇异积分的换向器的变分和振荡算子的二权重估计。给出了加权 BMO {\mathrm{BMO}} 空间的新表征,通过变化有界和振荡算子在两个权重设置中 Calderón-Zygmund 奇异积分的迭代交换子。