space of square integrable functions;
singular integral with Cauchy kernel;
linear operator;
continuity;
compactness;
D O I:
10.3103/S1066369X09080015
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摘要:
In the space of square integrable functions we establish effective sufficient continuity and compactness conditions for singular integral operators with Cauchy kernels on a segment of the real axis.
机构:
College of Mathematics and Information Science,Zhengzhou University of Light IndustryCollege of Mathematics and Information Science,Zhengzhou University of Light Industry
GUO XiaoLi
HU GuoEn
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机构:
Department of Applied Mathematics,Zhengzhou Information Science and Technology InstituteCollege of Mathematics and Information Science,Zhengzhou University of Light Industry
机构:
Western Washington Univ, Dept Math, 516 High St, Bellingham, WA 98225 USAWestern Washington Univ, Dept Math, 516 High St, Bellingham, WA 98225 USA
Chaffee, Lucas
Chen, Peng
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机构:
Sun Yat sen Zhongshan Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R ChinaWestern Washington Univ, Dept Math, 516 High St, Bellingham, WA 98225 USA
Chen, Peng
Han, Yanchang
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机构:
South China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R ChinaWestern Washington Univ, Dept Math, 516 High St, Bellingham, WA 98225 USA
Han, Yanchang
Torres, Rodolfo H.
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机构:
Univ Kansas, Dept Math, Lawrence, KS 66045 USAWestern Washington Univ, Dept Math, 516 High St, Bellingham, WA 98225 USA
Torres, Rodolfo H.
Ward, Lesley A.
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机构:
Univ South Australia, Sch Informat Technol & Math Sci, Mawson Lakes, SA 5095, AustraliaWestern Washington Univ, Dept Math, 516 High St, Bellingham, WA 98225 USA