一个引入中间变量的一般非齐次核全平面Hilbert型积分不等式 廖建全, 杨必成广东第二师范学院数学系 广州 510303 On a Hilbert-Type Integral Inequality with the General Nonhomogeneous Kernel and the Intermediate Variables in the Whole Plane Jian Quan LIAO, Bi Cheng YANGDepartment of Mathematics, Guangdong University of Education, Guangzhou 510303, P. R. China

摘要 图/表 参考文献 相关文章 全文: PDF(471 KB) HTML (1 KB) 输出: BibTeX | EndNote (RIS) 摘要应用实分析及权函数的方法，引入一些参数及中间变量，建立一个一般非齐次核全平面Hilbert型积分不等式的若干等价陈述.常数因子被证明是最佳的.作为应用，一个一般齐次核全平面Hilbert型积分不等式的若干等价陈述被导出.我们还考虑了一些特殊情况、算子表示及若干例子. 服务 加入引用管理器 E-mail Alert RSS 收稿日期: 2018-12-10 MR (2010): O178 基金资助:国家自然科学基金青年科学基金资助项目（11401113）；广东省2017年重点平台及科研项目—特色创新类项目（自然科学）（2017KTSCX133） 作者简介: 廖建全,E-mail:lamth@163.com;杨必成,E-mail:bcyang818@163.com 引用本文: 廖建全, 杨必成. 一个引入中间变量的一般非齐次核全平面Hilbert型积分不等式[J]. 数学学报, 2020, 63(1): 27-44. Jian Quan LIAO, Bi Cheng YANG. On a Hilbert-Type Integral Inequality with the General Nonhomogeneous Kernel and the Intermediate Variables in the Whole Plane. Acta Mathematica Sinica, Chinese Series, 2020, 63(1): 27-44. 链接本文: http://www.actamath.com/Jwk_sxxb_cn/CN/或 http://www.actamath.com/Jwk_sxxb_cn/CN/Y2020/V63/I1/27 [1] Chen Q., Yang B. C., A survey on the study of Hilbert-type inequalities, Journal of Inequalities and Applications, 2015:302. [2] Debnath L., Yang B. 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