Morrey空间中的例外集和Hausdorff测度

Exceptional Sets and Hausdorff Measure in MorreySpace

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摘要研究了Morrey空间中的例外集问题,证明了零容度例外集的可去性.另外,也得到了零容度集合的Hausdorff维度,并利用Hausdorff测度刻画集合的容度. The removability of exceptional sets being of Cλα,p-capacity zero in a Morrey space is proved.Moreover,the Housdorff dimension for a set in a Morrey space is obtained,and the Riesz-Morrey capacity is charactered by using Housdorff measure.

作者龙品红韩惠丽 Long Pinhong;Han Huili(School of Mathematics and Statistics,Ningxia University,Yinchuan 750021,China)

机构地区宁夏大学数学统计学院

出处《宁夏大学学报(自然科学版)》 CAS 2016年第3期264-267,共4页 Journal of Ningxia University(Natural Science Edition)

基金国家自然科学基金资助项目(11261041,11461053) 宁夏大学自然科学基金资助项目(NDZR1301) 宁夏大学博士启动基金资助项目

关键词例外集 HAUSDORFF测度容度 MORREY空间 exceptional sets Hausdorff measure capacity Morrey space

分类号 O174.3 [理学—基础数学]

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宁夏大学学报(自然科学版)

2016年第3期

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Morrey空间中的例外集和Hausdorff测度

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