| 无界区域上Cauchy型奇异积分算子的性质 |
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| 引用本文： | 王丽萍,乔玉英,张伟平.无界区域上Cauchy型奇异积分算子的性质[J].数学研究及应用,2014,34(5):575-586. |
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| 作者姓名： | 王丽萍 乔玉英 张伟平 |
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| 作者单位： | 河北师范大学数学与信息科学学院, 河北 石家庄 050024;河北师范大学数学与信息科学学院, 河北 石家庄 050024;河北师范大学数学与信息科学学院, 河北 石家庄 050024 |
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| 基金项目： | 国家自然科学基金(Grant Nos.11171349;11301136), 河北省自然科学基金(Grant No.A2010000346). |
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| 摘 要： | On the basis of introducing the modified Cauchy kernel, we discuss the Hoelder continuity of the Cauchy-type singular integral operator on unbounded domains for regular functions by dividing into the following three cases： two points are on the boundary of region; one point is on the boundary and another point is in the interior（or exterior） of the region; two points are in the interior （or exterior） of the region.
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| 关 键 词： | 奇异积分算子 柯西型 无界域 Hoelder连续性 性质 正则函数 边界 |
| 收稿时间： | 7/8/2013 12:00:00 AM |
| 修稿时间： | 2014/2/24 0:00:00 |
Some Properties of Cauchy-type Singular Integral Operator on Unbounded Domains |
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| Liping WANG,Yuying QIAO and Weiping ZHANG.Some Properties of Cauchy-type Singular Integral Operator on Unbounded Domains[J].Journal of Mathematical Research with Applications,2014,34(5):575-586. |
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| Authors: | Liping WANG Yuying QIAO and Weiping ZHANG |
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| Institution: | College of Mathematics and Information Science, Hebei Normal University, Hebei 050024, P. R. China;College of Mathematics and Information Science, Hebei Normal University, Hebei 050024, P. R. China;College of Mathematics and Information Science, Hebei Normal University, Hebei 050024, P. R. China |
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| Abstract: | On the basis of introducing the modified Cauchy kernel, we discuss the H\"{o}lder continuity of the Cauchy-type singular integral operator on unbounded domains for regular functions by dividing into the following three cases: two points are on the boundary of region; one point is on the boundary and another point is in the interior(or exterior) of the region; two points are in the interior (or exterior) of the region. |
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| Keywords: | regular function Cauchy-type singular integral operator unbounded domains H\"{o}lder continuity |
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