The boundedness of singular integral operator along an open curve |
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Authors: | Wang Xiaolin Min Honglin |
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Institution: | (1) College of Mathematical Sciences, Wuhan University, 430072 Wuhan, China |
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Abstract: | It is well known that, the singular integral operatorS defined as:
ifL is a closed smooth contour in the complex plane C, thenS is a bounded linear operator fromH
μ(L) intoH
μ(L): ifL is an open smooth curve, thenS is just a linear operator fromH
* intoH
*. In this paper, we define a Banach space
, and prove that
is a bounded linear operator, then verify the boundedness of other kinds of singular integral operators.
Supported by the National Science Foundation of China
Wang Xiaolin: born in Aug. 1950, Professor |
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Keywords: | singular integral operator " target="_blank"> gif" alt="
$$H_{\lambda _1 \lambda _2 }^\mu $$
" target="_blank">" align="middle" border="0"> space boundedness |
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