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In this paper, we prove the sharp estimates for multilinearcommutator related to Littlewod-Paley operator. By using the sharp es-timates, we obtained the weighted Lp-norm inequality for the multilinearcommutator for 1< p < ∞.
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참고문헌 (12)
참고문헌 신청
A. Torchinsky / 1986 / The Real Variable Methods in Harmonic Analysis, Pure and Applied Math / Academic Press : 123 ~
C. P´erez / 1995 / Endpoint estimate for commutators of singular integral operators / J. Func. Anal 128 : 163 ~ 185
C. P´erez / 2001 / Sharp weighted endpoint estimates for commutators of singular integral operators / Michigan Math. J 49 : 23 ~ 37
C. P´erez / 2002 / Sharp weighted estimates for multilinear commutators / J. London Math. Soc 65 : 672 ~ 692
E. M. Stein / 1993 / Harmonic Analysis: real variable methods, orthogonality and oscillatory integrals / Princeton Univ. Press
C. P´erez / 1995 / Endpoint estimate for commutators of singular integral operators / J. Func. Anal 128 : 163 ~ 185
C. P´erez / 2001 / Sharp weighted endpoint estimates for commutators of singular integral operators / Michigan Math. J 49 : 23 ~ 37
C. P´erez / 2002 / Sharp weighted estimates for multilinear commutators / J. London Math. Soc 65 : 672 ~ 692
E. M. Stein / 1993 / Harmonic Analysis: real variable methods, orthogonality and oscillatory integrals / Princeton Univ. Press
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