Acta mathematica scientia,Series B ›› 2000, Vol. 20 ›› Issue (1): 63-67.
• Articles • Previous Articles Next Articles
GONG Ya-Fang, DU Jin-Yuan
Online:
Published:
Supported by:
Supported by the National Committee of Science & Technology and the Funds of the State Education Commission of China
Abstract:
This paper defines a class of singular integral operators ˜Iwj on L2 wj space, where wights wj (j = 1 − 4) are four kinds of Chebyshev weights. The authors prove that ˜Iwj is an unique linear extension of classic singular integral operator Iwj on H¨older space,some important properties of ˜Iwj and some results of singular integral equation in L2 wjspace .
Key words: Singular integral operator, Chebyshev weight
CLC Number:
GONG Ya-Fang, DU Jin-Yuan. SINGULAR INTEGRAL OPERATORS IN L2 SPACE WITH CHEBYSHEV WEIGHTS[J].Acta mathematica scientia,Series B, 2000, 20(1): 63-67.
0 / / Recommend
Add to citation manager EndNote|Reference Manager|ProCite|BibTeX|RefWorks
URL: http://actams.apm.ac.cn/sxwlxbB/EN/
http://actams.apm.ac.cn/sxwlxbB/EN/Y2000/V20/I1/63
[1]Szeg¨o G. Orthogonal Polynomials. AMS Colloquium Publications, 1939,23 [2]Muskhelishvili M I. Singular Integral Equations. Gr¨oningen: Noordhoff, 1953 [3]Lu Jianke. Boundary Value Problem for Analytic Functions. Singapore: World Sci, 1993 [4]Du Jinyuan. Some systems of orthogonal polynomials associated with singular integral equations. Acta Math Sci, 1987,7:85-96
Cited