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Multilinear Fractional Integral Operators in Weighted Function Spaces
发布时间: 2018-11-06     09:01   【返回上一页】 发布人:Alexander Meskhi


北京师范大学数学科学学院

 

 

周五公众报告

 

 

报告题目:Multilinear Fractional Integral Operators in Weighted Function Spaces 

 

报告人:  Professor Alexander Meskhi(A.Razmadze Mathematical Institute, Georgia)

 

时间地点: 11月9日下午3:00-4:00 后主楼1124

 

邀请人:  薛庆营

 

报告摘要:

Our aim is to discuss boundedness of multilinear fractional operators, generally speaking, in weighted function spaces. In particular, we give: 

(a) A complete characterization of a weight function guaranteeing the trace-type inequalities for multilinear fractional integral operator. 

(b) Necessary and sufficient condition governing the boundedness of the multilinear fractional integral operators. 

(c) One-weight characterizations for multilinear fractional integrals in some nonstandard function spaces such as grand Lebesgue spaces

 

报告人简介:

Professor Meskhi is Chief Researcher of A. Razmadze Mathematical Institute of I. Javakhishvili Tbilisi State University, and  Full Professor of the  Technical University of Georgia (Department of Mathematics). Professor Meskhi is member of the Editorial Board of 9 International Scientific Journals, author of 5 monographs and 135 scientific papers, and participant of 50 International Forums.  The main research fields are  Harmonic Analysis and Applications to Partial Differential Equations.

 

周五学院公众报告主旨:

讲解现代数学中的基本概念、重要结果及其数学思想的起源、方法的创新等,扩展我们的教师和研究生的视野、提高数学修养以及增强学院的学术氛围。邀请各方向的专家用通俗易懂的报告内容、自由互动的讲解方式展现现代数学中重要的基本概念和深刻原理,让听众可以领略到现代数学理论其实是来源于一些大学或研究生阶段就熟知的古典数学中的想法和结论。希望这些报告有助于高年级的本科生、研究生和教师更全面的认识现代数学、享受数学之美。欢迎大家踊跃参与!