报告题目:On Oscillating Hyper Hilbert Transforms along Curves
报 告 人:陈杰诚(浙江师范大学教授、博士生导师)
报告时间:6月6日(周五)下午4:40
报告地点:数学实验室(工北412)
摘要:In this talk, we shall mainly show some joint work with D. S. Fan, M. Wang and X. R. Zhu about the oscillating hyper Hilbert transforms along curves. We shall first show some background on the study of this kind of operators. Then, we shall show our work or both well-curved -curves and flat plane curves. For the standard well-curved curves, we shall show a necessary and sufficient condition for the boundedness, and a sufficient condition for the boundedness which we guess is also best possible. For convex lane curves, we shall show some sufficient conditions for and boundedness, and some further discussion. Finally, we shall briefly show our main idea of the proofs which is completely different from others.
报告人简介:
陈杰诚,(原)杭州大学七七级本科生,于1987年获博士学位后留杭州大学任教,1992年晋升教授、94年增列为博导,2011年调到浙江师范大学工作,主要从事调和分析及其应用的研究。曾任杭州大学数学系副主任、四校合并后新浙江大学首届数学系主任等,现任浙江师范大学数理信息学院院长,并兼任国务院学位委员会数学学科组成员、教育部数学教指委成员,以及《数学学报》(中)、《数学年刊》(中、英)、《高校应用数学学报》(中、英)、《Journal of Function Spaces and Applications》等数学刊物编委。曾被评为“做出突出贡献的中国博士学位获得者”、“浙江省十大杰出青年”,曾获“中国青年科技奖”、“浙江省自然科学学术奖”、“光华科技进步奖”、“教育部科技进步奖”等;1993年开始享受国务院政府特殊津贴。