学术活动

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)

作者:   来源:  时间:2017-11-28

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

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