共查询到20条相似文献,搜索用时 546 毫秒
1.
考虑了Kantorovich-Vertesi有理插值型算子L^*n,s(f,X,x)对L^p[-1,1](1≤p≤∞)空间函数逼近的Jackson型估计。并获得了如下逼近阶:‖L^*n,s(f,X,x)-f(x)‖L^p[-1,1]≤Cp,sw(f,1/n 2)L^p[-1,1] (s>2)。 相似文献
2.
借助于球调和多项式的de la Vallée Poussin和构造出了单位球面S^q上一类带形平移网络算子,并给出了其对L^p(S^q)中函数一致逼近的收敛速度.
相似文献
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设(x,d,μ)是齐型空间.本文证明了分数次积分算子Iα与VMO函数构成的交换子I^ba是L^p(X)到L^q(X)的紧算子,其中α∈(0,1),1<p<q<∞且1/q=1/p—α。 相似文献
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利用Calderon-Zygmund分解,给出了当w∈A1时加权Hardy空间与加权L^p空间之间的算子内插。 相似文献
8.
本文讨论了Riemann流形上由Hodge-deRham算子△生成的热半群{e^t△}t≥0的渐近性质和L^p压缩性。 相似文献
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在L^p(1〈P〈∞)空间上研究板几何中一类具反射边界条件下各向异性、连续能量、均匀介质的奇异迁移方程.证明其奇异迁移算子产生C0半群和该半群的Dyson-Phillips展开式的二阶余项是紧的,且得到了该算子的谱在区域Г中由具有限代数重数的离散本征值组成等结果. 相似文献
11.
Shan-zhen LU & Xia XIA School of Mathentical Sciences Beijing Normal University Beijing China 《中国科学A辑(英文版)》2007,50(6):801-813
In this paper, the authors obtain a necessary and sufficient condition for the LP bound-edness of commutators generated by Bochner-Riesz operators below a critical index and Lipschitz functions in two dimensional case. The authors also discuss a similar problem for higher dimensions. 相似文献
12.
In terms of continuous decomposition and choosing an appropriate BMO function, the authors obtain a sharp necessary condition
for L
p boundedness of the commutators generated by Bochner-Riesz operators below the critical index and BMO functions.
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13.
Shanzhen LU 《Frontiers of Mathematics in China》2011,6(5):821-833
In this paper, the author introduces some late results and puts forward a few problems on commutators of many important operators
in harmonic analysis, included the Bochner-Riesz operator below the critical index, the strongly singular integral operator,
the pseudo-differential operator, a class of convolution operators with oscillatory kernel, the Marcinkiewicz integral operator,
and the fractional integral operator with rough kernel. 相似文献
14.
We establish Jackson-type and Bernstein-type inequalities for multipliers on Herz-type Hardy spaces. These inequalities can
be applied to some important operators in Fourier analysis, such as the Bochner-Riesz multiplier over the critical index,
the generalized Bochner-Riesz mean and the generalized Able-Poisson operator.
This work was supported by Key Academic Discipline of Zhejiang Province of China and National Natural Science Foundation of
China (Grant Nos. 10571014, 10631080, 10671019) 相似文献
15.
本文利用小波方法在一般阶的非散度椭圆算子的系数BMO模非常小的情形下,证明了广义 Riesz变换的 L~p(2≤p<+∞)有界性。 相似文献
16.
Li Luoqing 《分析论及其应用》1991,7(4):93-120
This paper deals with approximation of functions on the unit sphere. The uniform and almost everywhere approximation properties
of Bochner-Riesz means at and below the critical index for spherical harmonic expansions are studied. The results obtained
here are analogous to those of multiple Fourier series.
Supported by NSFC 相似文献
17.
Wang Shiming 《分析论及其应用》1994,10(2):32-42
In this paper we study the approximation on set of full measure for functions in Sobolev spaces L
m
1
(R
n) (m∈ℕ) by Bochner-Riesz means of conjugate Fourier integrals below the critical index. A theorem concerning the precise approximation
orders with relation to the number m of space L
m
1
(R
n) and the index of Bochner-Riesz means is obtained.
Supported by NNSFC. 相似文献
18.
Approximation on set of total measure of Bochner-Riesz means below the critical index 总被引:1,自引:1,他引:0
In this paper it has been considered convergence and approximation for functions inSobolev Spaces L_m~1(R~n)by Bochner-Riesz means below the critical index.A theorem that ofprecise approximation orders on set of total measure has been proved. 相似文献
19.
设Bδ^A,是由Bochner—Riesz算子生成的极大多线性Bochner—Riesz算子,其中D^γA∈Aβ(|γ|=m).获得这个算子及其变形在中心Campanato空间的连续性. 相似文献
20.
设BδA,*是由Bochner-Riesz算子生成的极大多线性Bochner-Riesz算子,其中DγA∈Λ.β(|γ|=m).获得这个算子及其变形在中心Campanato空间的连续性. 相似文献