Authentication email has already been sent, please check your email box: and activate it as soon as possible.
You can login to My Profile and manage your email alerts.
If you haven’t received the email, please:
|
|
There are 7 papers published in subject: > since this site started. |
Results per page: |
Select Subject |
Select/Unselect all | For Selected Papers |
Saved Papers
Please enter a name for this paper to be shown in your personalized Saved Papers list
|
1. Endpoint Estimate for Commutator of Riesz Transform Associated with | |||
Pengtao Li,Lizhong Peng | |||
Mathematics 22 July 2009 | |||
Show/Hide Abstract | Cite this paper︱Full-text: PDF (0 B) | |||
Abstract:In this paper, we will discuss the H1L boundedness of commutator of Riesz transform associated with Schrödinger operator L = −Δ + V, where H1L (Rn) be the Hardy space associated with L. We assume that V (x) is a nonzero, nonnegative potential and belongs to Bq for some q > n/2. Let T1 = V (x)(− Δ+V )−1 , T2 = V 1/2(−Δ+V )−1/2 and T3 = ▽(−Δ+V )−1/2 , we obtain that, for b ∈ BMO(Rn), the commutator [b, Ti], (i =1, 2, 3) are of (H1L ,L1weak ) boundedness. | |||
TO cite this article:Pengtao Li,Lizhong Peng. Endpoint Estimate for Commutator of Riesz Transform Associated with[OL].[22 July 2009] http://en.paper.edu.cn/en_releasepaper/content/34003 |
2. A Generalized Radon Transform on the Plane | |||
Zhongkai Li,Song Futao | |||
Mathematics 12 January 2009 | |||
Show/Hide Abstract | Cite this paper︱Full-text: PDF (0 B) | |||
Abstract:A new generalized Radon transform $R_{alpha,,beta}$ on the plane for functions even in each variable is defined, which has natural connections with the bivariate Hankel transform, the generalized biaxially symmetric potential operator $Delta_{alpha,,beta}$ and the Jacobi polynomials $P_k^{(beta,,alpha)}(t)$. The transform $R_{alpha,,beta}$ and its dual $R_{alpha,,beta}^ast$ are studied in a systematic way, and in particular, the generalized Fuglede formula and some inversion formulas for $R_{alpha,,beta}$ for functions in $L_{alpha,,beta}^p(RR^2_+)$ are obtained in terms of the bivariate Hankel-Riesz potential. Moreover, the transform $R_{alpha,,beta}$ is used to represent the solutions of the partial differential equations $Lu:=sum_{j=1}^m a_jDelta_{alpha,,beta}^ju=f$ with constant coefficients $a_j$\ | |||
TO cite this article:Zhongkai Li,Song Futao. A Generalized Radon Transform on the Plane[OL].[12 January 2009] http://en.paper.edu.cn/en_releasepaper/content/27671 |
3. A Parabolic Singular Integral Operator With Rough Kernel | |||
Yanping Chen,Yong Ding,Dashan Fan | |||
Mathematics 25 September 2008 | |||
Show/Hide Abstract | Cite this paper︱Full-text: PDF (0 B) | |||
Abstract:Let $Omega$ be an $H^1(S^{n-1})$ function on the unit sphere satisfying a certain cancellation condition. We study the $L^p$ boundedness of the singular integral operator $$T f(x)=hbox{p.v.}int_{{\\Bbb R}^n}f(x-y)Omega(y^prime)rho(y)^{-alpha},dy,$$ where $alphageq n$ and $rho$ is a norm function which is homogeneous with respect to certain nonistropic dilation. The result in the paper substantially improves and extends some known results. | |||
TO cite this article:Yanping Chen,Yong Ding,Dashan Fan. A Parabolic Singular Integral Operator With Rough Kernel[OL].[25 September 2008] http://en.paper.edu.cn/en_releasepaper/content/24364 |
4. Compactness of Commutator of Riesz transforms Associated to Schroginger operator | |||
Pengtao Li,Lizhong Peng | |||
Mathematics 06 May 2008 | |||
Show/Hide Abstract | Cite this paper︱Full-text: PDF (0 B) | |||
Abstract:In this paper, we consider the compactness of some commutators of Riesz transforms associated to Schr\\\"{o}dinger operator $L=-triangle+V(x)$ on $R^{n}, ngeq 3.$ We assume that $V(x)$ is non-zero, nonnegative and belongs to the reverse H\\\"{o}lder class $B_{q}$ for $q>frac{n}{2}$. Let $T_{1}=(-triangle+V)^{-1}V,quad T_{2}=(-triangle+V)^{-1/2}V^{1/2}$ and $T_{3}=(-triangle+V)^{-1/2}nabla$, we obtain the commutator operators $[b,T_{j}], (j=1,2,3)$ are compact operators on $L^{p}(R^{n})$ when $p$ ranges in an interval, where $bin VMO(R^{n})$. | |||
TO cite this article:Pengtao Li,Lizhong Peng. Compactness of Commutator of Riesz transforms Associated to Schroginger operator[OL].[ 6 May 2008] http://en.paper.edu.cn/en_releasepaper/content/21165 |
5. Strongly Singular Calder'{o}n-Zygmund Operators | |||
Yan Lin,Shanzhen Lu | |||
Mathematics 28 November 2007 | |||
Show/Hide Abstract | Cite this paper︱Full-text: PDF (0 B) | |||
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 |
6. On Marcinkiewicz integral with rough kernels | |||
Lu Shanzhen | |||
Mathematics 23 November 2007 | |||
Show/Hide Abstract | Cite this paper︱Full-text: PDF (0 B) | |||
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 |
7. A note on a conjecture of Calder′on on weak type L1 boundedness of CZOs | |||
Chen Jiecheng,Zhu Xiangrong | |||
Mathematics 01 December 2006 | |||
Show/Hide Abstract | Cite this paper︱Full-text: PDF (0 B) | |||
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 |
Select/Unselect all | For Selected Papers |
Saved Papers
Please enter a name for this paper to be shown in your personalized Saved Papers list
|
Results per page: |
About Sciencepaper Online | Privacy Policy | Terms & Conditions | Contact Us
© 2003-2012 Sciencepaper Online. unless otherwise stated