| CLIFFORD MARTINGALES Φ-EQUIVALENCE BETWEEN S（f） AND f^＊ |
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| 作者姓名： | Long Rulin Qian Tao |
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| 作者单位： | LONG RULIN;QIAN TAO (Institute of Mathematics，Academia Sinica，Beijing 100080，China.)(School of Information Science and Technology，The Flinders University of South Australia.) |
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| 摘 要： | ＣＬＩＦＦＯＲＤＭＡＲＴＩＮＧＡＬＥＳΦ－ＥＱＵＩＶＡＬＥＮＣＥＢＥＴＷＥＥＮＳ（ｆ）ＡＮＤｆ￥ＬＯＮＧＲＵＬＩＮ；ＱＩＡＮＴＡＯ（ＩｎｓｔｉｔｕｔｅｏｆＭａｔｈｅｍａｔｉｃｓ，ＡｃａｄｅｍｉａＳｉｎｉｃａ，Ｂｅｉｊｉｎｇ１０００８０，Ｃｈｉｎａ．）...
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| 关 键 词： | Clifford algebra Martingale Square function Maximal function Good λ-inequality. |
| 收稿时间： | 4/6/1992 12:00:00 AM |
| 修稿时间： | 1993/5/17 0:00:00 |
CLIFFORD MARTINGALES
${\large{\boldsymbol\Phi}}$-EQUIVALENCE BETWEEN {\tf S}${\boldkey (}${\tf f}$
{\boldkey )}$ AND {\tf f} |
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| Long Rulin,Qian Tao.CLIFFORD MARTINGALES
${\large{\boldsymbol\Phi}}$-EQUIVALENCE BETWEEN {\tf S}${\boldkey (}${\tf f}$
{\boldkey )}$ AND {\tf f}[J].Chinese Annals of Mathematics,Series B,1994,15(4):507-516. |
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| Authors: | Long Rulin and Qian Tao |
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| Institution: | [2]SchoolofInformationScienceandTechnology,TheFlindersUniversityofSouthAustralia. [3]InstituteofMathematics,AcademisSinica,Beijing100080,China |
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| Abstract: | Required by the
application in the investigation of the Cauchy integral operators on
Lipschitz surfaces, the classical martingales are generalized to
ones defined with respect to Clifford algebra valued measures.
Meanwhile, very general $\Phi$-equivalences between $S(f)$ and
$f^*$, the same as in the classical case, are established too. |
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| Keywords: | Clifford algebra Martingale Square
function Maximal function Good $\lambda$-inequality |
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