| θ-型C-Z算子在加权变指数Morrey空间上的有界性 |
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| 引用本文： | 杨沿奇,陶双平.θ-型C-Z算子在加权变指数Morrey空间上的有界性[J].数学学报,2019,62(3):503-514. |
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| 作者姓名： | 杨沿奇 陶双平 |
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| 作者单位： | 西北师范大学数学与统计学院 兰州 730070 |
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| 基金项目： | 国家自然科学基金资助项目（11561062） |
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| 摘 要： | 在满足一定的正则性假设条件下,建立了θ-型Calderón-Zygmund算子T_θ在一类变指数Lebesgue空间上的加权有界性.进一步得到了T_θ在加权变指数Herz空间和Herz-Morrey空间上的有界性.另外,还证明了相应的交换子b,T_θ]在广义加权变指数Morrey空间上是有界的.
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| 关 键 词： | θ-型Calderón-Zygmund算子 加权变指数Morrey空间 加权变指数Herz-Morrey空间 |
Boundedness of θ-type C-Z Operators on Weighted Variable Exponent Morrey Spaces |
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| Yan Qi YANG,Shuang Ping TAO.Boundedness of θ-type C-Z Operators on Weighted Variable Exponent Morrey Spaces[J].Acta Mathematica Sinica,2019,62(3):503-514. |
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| Authors: | Yan Qi YANG Shuang Ping TAO |
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| Institution: | College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, P. R. China |
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| Abstract: | We obtain some boundedness results for the θ-type Calderón-Zygmund operators Tθ under natural regularity assumptions on a class of generalized Lebesgue spaces with weight and variable exponent. Furthermore, the boundedness of Tθ is established on the weighted variable Herz and Herz-Morrey spaces based on the above conclusions. We also prove the boundedness of the corresponding commutatorb, Tθ] in the generalized weighted Morrey spaces with variable exponent. |
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| Keywords: | θ-type Calderón-Zygmund operator weighted variable exponent Morrey space weighted variable exponent Herz-Morrey space |
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