变指标中心BMO空间
Central BMO Spaces with Variable Exponent
本文引进变指标中心有界平均振荡函数空间.作为应用,得到了Hardy算子及其共轭算子的交换子在变指标勒贝格空间上有界性的特征刻画.另外,还考虑了交换子在变指标Herz空间上的向量值不等式.
In this paper, the central BMO spaces with variable exponent are introduced. As an application, we characterize these spaces by the boundedness of commutators of Hardy operator and its dual operator on variable Lebesgue spaces. The boundedness of vector-valued commutators on Herz spaces with variable exponent are also considered.
中心BMO空间 / 特征刻画 / 交换子 / Hardy算子 / 变指标 {{custom_keyword}} /
central BMO space / characterize / commutator / Hardy operator / variable exponent {{custom_keyword}} /
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国家自然科学基金资助项目(11661075,11271312)
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