文献类型：期刊文献

英文题名：BOUNDARY LIMITS FOR FRACTIONAL POISSON a-EXTENSIONS OF L-p BOUNDARY FUNCTIONS IN A CONE

作者：Qiao, Lei[1];Zhao, Tao[2]

第一作者：乔蕾

通讯作者：Qiao, L[1]

机构：[1]Henan Univ Econ & Law, Sch Math & Informat Sci, Zhengzhou 450046, Peoples R China;[2]Okayama Univ, Fac Sci, Okayama 7008350, Japan

第一机构：河南财经政法大学数学与信息科学学院

通讯机构：[1]corresponding author), Henan Univ Econ & Law, Sch Math & Informat Sci, Zhengzhou 450046, Peoples R China.|[1048425]河南财经政法大学数学与信息科学学院;[10484]河南财经政法大学;

年份：2014

卷号：272

期号：1

起止页码：227-236

外文期刊名：PACIFIC JOURNAL OF MATHEMATICS

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000346905600010)】；

基金：This work was supported by the National Natural Science Foundation of China (grants U1304102 and 11301140.)

语种：英文

外文关键词：boundary limit; Poisson a-integral; stationary Schrodinger operator; cone

摘要：If one replaces the Poisson kernel of a cone by the Poisson a-kernel, then normalized Poisson integrals with respect to the stationary Schrodinger operator converge along approach regions wider than the ordinary non-tangential cones. In this paper we present new and simplified proofs of these results. We also generalize the result by Mizuta and Shimomura to the smooth cones.