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There are 27 papers published in subject: > since this site started. |
Results per page: | 27 Total, 3 Pages | << First < Previous 1 2 3 |
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1. Strongly Singular Calder'{o}n-Zygmund Operators | |||
Yan Lin,Shanzhen Lu | |||
Mathematics 28 November 2007 | |||
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Abstract:In this paper, the authors obtain two kinds of endpoint estimates for strongly singular Calder'{o}n-Zygmund operators. Moreover, the pointwise estimate for sharp maximal function of commutators generated by strongly singular Calder'{o}n-Zygmund operators and BMO functions is also established. As its applications, the boundedness of the commutators on Morrey type spaces will be obtained. | |||
TO cite this article:Yan Lin,Shanzhen Lu. Strongly Singular Calder'{o}n-Zygmund Operators[OL].[28 November 2007] http://en.paper.edu.cn/en_releasepaper/content/16631 |
2. On Marcinkiewicz integral with rough kernels | |||
Lu Shanzhen | |||
Mathematics 23 November 2007 | |||
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Abstract:In this summary paper, the author would like to introduce some recent progress in the theory of Marcinkiewicz integral and will pay more attention to the case of rough kernels. It consists of six sections. 1. Introduction 2. $L^p$-boundedness of Marcinkiewicz integral 3. Weighted $L^p$-boundedness of Marcinkiewicz integral 4. Boundedness of Marcinkiewicz integral on the other spaces 5. Commutators generated by Marcinkiewicz integral 6. Marcinkiewicz integral on product spaces. | |||
TO cite this article:Lu Shanzhen . On Marcinkiewicz integral with rough kernels[OL].[23 November 2007] http://en.paper.edu.cn/en_releasepaper/content/16548 |
3. A note on a conjecture of Calder′on on weak type L1 boundedness of CZOs | |||
Chen Jiecheng,Zhu Xiangrong | |||
Mathematics 01 December 2006 | |||
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Abstract:For $f\\in \\QTR{cal}{S}(R^2)$ and $\\Omega \\in L^1(S^1)$, $\\int_{S^1}\\Omega (x^{\\prime })dx^{\\prime }=0$, define $$T_\\Omega (f)(x)=\\underset{\\epsilon \\rightarrow 0+}\\to{\\lim }\\int_{\\left| x-y\\right| \\geq \\epsilon }\\frac{\\Omega (y/\\left| y\\right| )}{\\left| y\\right| ^2}f(x-y)dy. $$In this paper, we shall prove that there are a class of functions in $H^1(S^1)-L\\ln {}^{+}L(S^1)$ such that $T_\\Omega $ is weak type $L^1-$bounded. | |||
TO cite this article:Chen Jiecheng,Zhu Xiangrong. A note on a conjecture of Calder′on on weak type L1 boundedness of CZOs[OL].[ 1 December 2006] http://en.paper.edu.cn/en_releasepaper/content/10111 |
4. L2--oundedness of Hilbert transforms along variable curves | |||
Chen Jiecheng,Zhu Xiangrong | |||
Mathematics 01 December 2006 | |||
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Abstract:For $\phi \in C^1(R^1)$, $\gamma \in C^2(R^1)$, odd or even, $\gamma (0)=\gamma ^{\prime }(0)=0$, convex on $(0,\infty )$, define a Hilbert transform along variable curves by $$H_{\phi ,\gamma }(f)(x_1,x_2)=p.v.\int_{-\infty }^{+\infty }f(x_1-t,x_2-\phi (x_1)\gamma (t))\frac{dt}t. $$In this paper, we shall first give a counter-example to show that under the condition of Nagel-Vance-Wainger-Weinberg on $\gamma $, the $L^2-$boundedness of $H_{\phi ,\gamma }$ may fail even if $\phi \in C^\infty (R^1)$. Then, we relax Bennett | |||
TO cite this article:Chen Jiecheng,Zhu Xiangrong. L2--oundedness of Hilbert transforms along variable curves[OL].[ 1 December 2006] http://en.paper.edu.cn/en_releasepaper/content/10103 |
5. An analogue of Beurling’s theorem for the Jacobi transform | |||
Huang Jizheng,Liu Heping,Liu Jianming | |||
Mathematics 30 May 2006 | |||
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Abstract:In this paper, we prove Beurling’s theorem for the Jacobi transform, from which we derive some other versions of uncertainty principles. | |||
TO cite this article:Huang Jizheng,Liu Heping,Liu Jianming. An analogue of Beurling’s theorem for the Jacobi transform[OL].[30 May 2006] http://en.paper.edu.cn/en_releasepaper/content/6854 |
6. Approximation of Weak Sense Stationary Stochastic Processes from Local Averages | |||
Song Zhanjie,Sun Wenchang,Yang Shouyuan | |||
Mathematics 16 February 2006 | |||
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Abstract:We show that a weak sense stationary stochastic process can be approximated by local averages. Explicit error bounds are given. | |||
TO cite this article:Song Zhanjie,Sun Wenchang,Yang Shouyuan. Approximation of Weak Sense Stationary Stochastic Processes from Local Averages[OL].[16 February 2006] http://en.paper.edu.cn/en_releasepaper/content/5257 |
7. Stability of G-frames | |||
Sun Wenchang | |||
Mathematics 16 February 2006 | |||
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Abstract: G-frames are natural generalizations of frames which cover many other recent generalizations of frames, e.g., bounded quasi-projectors, frames of subspaces, outer frames, oblique frames, pseudo-frames and a class of time-frequency localization operators. Moreover, it is known that g-frames are equivalent to stable space splittings. In this paper, we study the stability of g-frames. We first present some properties for g-Bessel sequences. Then we prove that g-frames are stable under small perturbations. We also study the stability of dual g-frames. | |||
TO cite this article:Sun Wenchang. Stability of G-frames[OL].[16 February 2006] http://en.paper.edu.cn/en_releasepaper/content/5252 |
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