学术报告
Bochner-Riesz Means for the Dunkl Transforms - 叶文锐（对外经贸大学）Entropy numbers of function classes on some compact set - 王凯（廊坊师范学院）
题目：Bochner-Riesz Means for the Dunkl Transforms
报告人：叶文锐（对外经贸大学）
摘要：In this talk, I will mainly describe joint work with Dr. Feng Dai on the critical index for the almost everywhere convergence of the Bochner-Riesz means in weighted Lp-spaces with p=1 or p > 2. Our results under the case p>2 are in full analogy with the classical result of M. Christ on estimates of the maximal Bochner-Riesz means of Fourier integrals and the classical result of A. Carbery, José L. Rubio De Francia and L. Vega on a.e. convergence of Fourier integrals. Besides, I will also introduce several new results that are related to our main results, including: (i) local restriction theorem for the Dunkl transform which is significantly stronger than the global one, but more difficult to prove; (ii) the weighted Littlewood Paley inequality with Ap-weights in the Dunkl noncommutative setting; (iii) sharp local pointwise estimates of several important kernel functions.
题目：Entropy numbers of function classes on some compact set
报告人：王凯（廊坊师范学院）
摘要：In this talk, we will mainly discuss the problem of entropy numbers of function classes on some compact set inclucing the interval [-1,1], the unit sphere, and the unit ball etc. Some results of the asymptotic orders of entropy numbers of Sobolev classes are obtained.
时间：11月28日（周二）下午2：40-4：40
地点：首师大校本部新教二楼808
欢迎全体师生积极参加！
