Fractional Integrals on Lebesgue Spaces with Mixed Norms
报告题目(Title):Fractional Integrals on Lebesgue Spaces with Mixed Norms
报告人(Speaker):孙文昌 (南开大学)
地点(Place):后主楼1124
时间(Time):2019年12月27日 15:00-16:00
邀请人(Inviter):薛庆营
报告摘要
Lebesgue spaces with mixed norms were first studied by Benedek and Panzone in 1961, where many fundamental properties were proved. In particular, they showed that such spaces possess similar properties as usual Lebesgue spaces. In this talk, we focus on the fractional integral opetror on mixed Lebesgue spaces. We give some necessary and sufficient conditions for the fractional integral to be bounded.
主讲人简介
孙文昌,南开大学数学学院教授,博士生导师。主要研究领域为调和分析与小波分析,已在 Advances in Mathematics, Journal of Functional Analysis, Applied and Computational Harmonic Analysis, Mathematics of Computation 等 SCI 期刊上发表七十多篇论文,主持国家自然科学基金杰出青年基金等多项基金。曾获得国务院政府特殊津贴,天津市自然科学一等奖(第一完成人)。