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【期刊论文】Spaces Generated by Smooth Blocks
陆善镇, Shanzhen Lu and Shiming Wang
Constr. Approx. (1992) 8: 331-341,-0001,():
-1年11月30日
A new kind of funcion space generated by somooth blocks is introduced. The new spaces are used to investigate the relation between the smoothness imposed on blocks nad the rate of convergence of the Bochner-Riesz eans at the critical index.
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【期刊论文】Applecationso f Hormander Multiplier Theorem to Approximaton in Real Hardy Spaces*
陆善镇, LIU ZHIXIN AND LU SHANZHEN
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-1年11月30日
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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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陆善镇
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY Volume 122, Number 2, October 1994,-0001,():
-1年11月30日
In this paper we study the bounded property of the Rice means for the cigcnfunction expansio~ foe elliptic operators on the Hardy spaces. Our result generalizes the classical result due to Sjolin and Stein-Taibleson-Weiss on the Boehner-Riesz means.
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【期刊论文】The local versions of Hp(Rn) spaces at the origin by
陆善镇, SHANZHEN LU and DACHUN YANG
STUDIA MATHEMATICA 116 (2) (1995),-0001,():
-1年11月30日
Let 0<p≤1<q<∞and α=n (1/p-1-q). We introduce some new Hardy spaces HKα,q p (Rn) which are the local versions of Hp(Rn) spaces at the origin. Characterizations of these spaces in terms of atomic and molecular decompositions are established, together with their φ-transform characterizatins in M. Frazier and B. Jawerth's sense. We also prove an interpolation theorem for operators on HKα,qp(Rn) and discuss the HKα,qp (Rn)-boundedness of Calderon-Zygmund operators. similar results can also be obtined for the non-homogeneous Hardy spaces HKα,qp (Rn).
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