1) singular integral operator
奇异积分算子
1.
Weighted norm inequalities for singular integral operators with Dini-type condition;
具有Dini核奇异积分算子的几个加权赋范不等式
2.
On the norm of a Hilbert s type singular integral operator with a parameterized integral kernel and its applications;
一个带参数积分核的Hilbert型奇异积分算子的范数刻画及应用
3.
Some Problems on Commutators Generated by Singular Integral Operators and Oscillatory Integral Operators;
粗糙核奇异积分算子及振荡积分算子的交换子的有界性问题
2) singular integral operators
奇异积分算子
1.
Estimation and application of kernel of singular integral operators with Dini-type condition;
具有Dini型条件的奇异积分算子的核的估计及应用
2.
This paper proves the boundedness of certain principal- value singular integral operators on weighted BMOαover locally compact Vilenkin Groups.
讨论了局部紧 Vilenkin群上一类奇异积分算子的权 BMOα空间的有界
3.
In this paper, we have proved that L2 boundedness of commutators of BMO and Calderon-Zygmund singular integral operators with weak kernel, defined by [B,T]f = BTf-T(Bf) when B ∈ BMO, where T satisfies the following conditions: T(b1) ∈ BMO, T*(b2) ∈ BMO, b2Tb1 ∈ WBP for some accretive functions b1,b2.
本文证明了BMO与弱核条件下Calderón-Zygmund奇异积分算子的交换子 [B,T]f=BTf-T(Bf)的L2有界性,这里B ∈BMO,T对增生的b1,b2,满足 T(b1)∈BMO,T*(b2)∈BMO,b2Tb1∈WBP。
3) strongly singular integral operator
强奇异积分算子
1.
In this paper, we consider endpoint estimates for commutators of strongly singular integral operators on Hardy space, and establish the boundedness from the space H1(Rn) to weak L1(Rn) and from a subspace of H1(Rn) to L1(Rn) , respectively.
本文考虑强奇异积分算子的交换子在Hardy型空间上的端点估计,建立了这类交换子从H1(Rn)到弱 L1(Rn)上的有界性及H1(Rn)的某个子空间到 L1(Rn)上的有界性结果。
2.
In this paper,a variant sharp function estimate is established for commutators of strongly singular integral operators.
本文建立了强奇异积分算子一阶交换子的一个变形sharp函数估计。
4) Миракъян singular integral operators
Миракъян奇异积分算子
1.
As an example, Миракъян singular integral operators are analysed and studied, and a general conclusion has been reached.
利用该定理建立了变形的Миракъян奇异积分算子的收敛性定理 ,得到了具有一般性的结
5) positive singular integral operator
正奇异积分算子
6) singular integral eperator
奇异积分型算子
补充资料:积分算子
积分算子
integral operator
积分算子[加魄间0碑拍tor;抓,印~碱。.eP‘p〕 一个映射x巨Ax,其对应规则A由一个积分给定.积分算子有时称为积分变换(甸啡”1 tiansfor-mation).例如,对于yP~积分算子(见yp“仁洲方程(U够。加闪甲石的))中‘~A毋,其对应莎侧A由积分 A中(‘)二Jp(‘,T,中(T))d:,‘〔D(l) D给定(或此算子,一A中由该积分生成),其中D是一个有限维空间中给定的具有有限u比脚测度的可测集,而p(r,;,u)(t,:〔D,一田l时,称为多维奇异积分算子. 如果曲线D位于复艺平面上,则当D是简单闭曲线时, 注。(。)一f竺达上、,,。刀(6) 苏T一‘(其中积分理解为Cauchy主值意义)生成满足H。】der条件的函数的空间中的连续积分算子中}~A毋,而当D是瓜叮印B曲线(亦见瓜n娜0.曲面和曲线(场apunovs也.c岛andc明“))时生成L,(D)(1
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