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具有粗糙核的双线性分数次积分算子交换子在中心广义Morrey空间中的有界性

Boundedness for commutator of bilinear fractional integral operator with a rough kernel on center generalized Morrey space
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摘要 研究了一类由λ-中心有界平均振荡空间中的函数生成的双线性分数次积分算子交换子,证明了双线性分数次积分算子的交换子在中心广义Morrey空间中的有界性. The commutator of the bilinear fractional integral operators with a rough kernel generated by the functions belonged to theλ-central bounded mean oscillation space is studied and the boundedness of such operator on the center generalized Morrey space is proved.
作者 喻晓 张慧慧 吴小梅 YU Xiao;ZHANG Huihui;WU Xiaomei(School of Mathematics and Computers,Shangrao Normal University,Shangrao 334001,China;School of Xingzhi,Zhejiang Normal University,Jinhua 321004,China)
出处 《高校应用数学学报(A辑)》 CSCD 北大核心 2018年第1期87-98,共12页 Applied Mathematics A Journal of Chinese Universities(Ser.A)
基金 国家自然科学基金(11561057 11501516) 江西省自然科学基金(20151BAB211002) 浙江省自然科学基金(LQ15A010003) 江西省教育厅科技项目(GJJ151054)
关键词 双线性分数次积分 中心广义Morrey空间 交换子 λ-中心有界平均振荡空间 bilinear fractional integral center generalized Morrey space commutator λ-central bounded mean oscillation space
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