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【期刊论文】The Continuity of Commutators on Herz-Type Spaces
陆善镇, SHANZHEN LU & DACHUN YANG
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-1年11月30日
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【期刊论文】CRITERION OF (Lo, Lr) BOUNDEDNESS FOR A CLASS OF MULTILINEAR OSCILLATIORY SINGULAR INTEGRALS
陆善镇, WENGU CHEN, GUOEN HU AND SHANZHEN LU
Nagoya Math. J. Vol. 149 (1998). 33-51,-0001,():
-1年11月30日
In this paper, we consider a kind of multilinear operators related to oscillatory singular integrals with rough kernels andgive a criterion of certain boundedness for fthis kind of operators.
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【期刊论文】Myktukubear oscillatory integrals with Calderon-Zygmund kernel*
陆善镇, LU Shanzhen (陆善镇)
SIENCE IN CHINA (Series A), 1999, 42 (10): 135~142,-0001,():
-1年11月30日
A criterion on some boundedness is obtained for a class of multilinear oscillatory singular integrals with Calderon-Zygmund standard kemel.
multilinear ascillatory integrals,, Calderon-Zygmund kernel.,
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【期刊论文】Higher order commutators for a class of rough operators
陆善镇, Yong Ding aud Shanzhen Lu()
Ark. Mat., 37 (1999), 33-34,-0001,():
-1年11月30日
In this paper we study the (Lp(up, Lq(vq)) boundedness of the higher order commutators TmΩ,α, and MmΩ,α,b formed by the fractional integral operator TΩ,α, the fractinal maximal operator MΩ,α, and a function b (χ) in BMO(v), respectively. Our results improve and extend the corresponding results botained by Segovia and Torrea in 1993 [9].
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【期刊论文】Weak estimates for commutators of fractional integral operators
陆善镇, DING Yong (丁勇), LU Shanzhen (陆善镇) & ZHANG Pu (张璞)
SIENCE IN CHINA (Series A), 2001, 44 (7): 877~888,-0001,():
-1年11月30日
By introducing a kind of maximal operator of the fractional order associated with the mean Luxemburg norm and using the technique of the sharp function. the weak type Llog Lestimates for the commutators of the fractional integral operator and the related maximal operator are established.
fractional integral,, commutator,, sharp function,, Young function,, Luxemburg norm.,
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