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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】LP-boundedness of multilinear oscillatory singular integrals with Calder
陆善镇, LU Shanzhen (陆善镇) & YAN Dunyan (燕敦验)
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY Volume 131, Number 2, Pager 467-477,-0001,():
-1年11月30日
LP-boundedness is obtained for a class of multilinear oscillatory singular integrals with Calder
multilinear oscillatory integrals,, Calderon-Zygmund kernel,, BMO space.,
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【期刊论文】Lipschitz estimates for generalized commutators of fractional integrals
陆善镇, Shanzhen Lu* and Pu Zhang**
Math. Nachr. 252, 70-85(2003),-0001,():
-1年11月30日
Let TAΩα ( θ<α<n) be the generalized commutator generatedby fractional intergral with rough kernal and the m-th order remaindr of the Taylor formual of a funcion A. In this paper, the (Lp\Lr) (r>1) bound edness, the weak (L1, Ln/(n-α-β) boundedness and the (Lp, Fβp,∞) boundednessof TAΩ1α are discussed, when D'A belongs to the Lipschitz funcion spaces.
Fractional maximal operator,, generalized commutator,, Lipschitx space,, Triebel-Lizorkin space
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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】Criterionon Lp-Bonudnedness for a class of Oscillatory singular Integrals with rough Kernels
陆善镇, Lus Shanzhen and Zhang Yan
REVISTA MATEMATICA IBEROAMERICANA VOL. 8, No. 2, 1992,-0001,():
-1年11月30日
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