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| CLIFFORD MARTINGALES${\large{\boldsymbol\Phi}}$-EQUIVALENCE BETWEEN {\tf S}${\boldkey (}${\tf f}${\boldkey )}$ AND {\tf f} |
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Citation： |
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 B,1994,15(4):507~516 |
| Page view： 1029
Net amount： 820 |
Authors： |
Long Rulin; Qian Tao |
Foundation： |
The first author was supported by the National Natural Science
Foundation of 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. |
Keywords： |
Clifford algebra, Martingale, Square
function, Maximal function,Good $\lambda$-inequality. |
Classification： |
60G46, 60G42. |
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