θ型C-Z算子在加权变指数Morrey空间上的有界性 杨沿奇, 陶双平西北师范大学数学与统计学院 兰州 730070 Boundedness of θ-type C-Z Operators on Weighted Variable Exponent Morrey Spaces Yan Qi YANG, Shuang Ping TAOCollege of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, P. R. China

摘要 图/表 参考文献 相关文章 全文: PDF(530 KB) HTML (1 KB) 输出: BibTeX | EndNote (RIS) 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Tθ在一类变指数Lebesgue空间上的加权有界性.进一步得到了Tθ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，Tθ]在广义加权变指数Morrey空间上是有界的. 服务 加入引用管理器 E-mail Alert RSS 收稿日期: 2018-09-28 MR (2010): O174.2 基金资助:国家自然科学基金资助项目（11561062） 通讯作者:陶双平E-mail: taosp@nwnu.edu.cn 作者简介: 杨沿奇,E-mail:yangyanqi521@126.com 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. Yan Qi YANG, Shuang Ping TAO. Boundedness of θ-type C-Z Operators on Weighted Variable Exponent Morrey Spaces. Acta Mathematica Sinica, Chinese Series, 2019, 62(3): 503-514. 链接本文: http://www.actamath.com/Jwk_sxxb_cn/CN/或 http://www.actamath.com/Jwk_sxxb_cn/CN/Y2019/V62/I3/503 [1] Acerbi E., Mingione G., Regularity results for stationary electrorheological fluids, Arch. Ration. Mech. Anal., 2002, 164:213-259. [2] Acerbi E., Mingione G., Gradient estimates for a class of parabolic systems, Duke. Math. J., 2007, 136:285-320. 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