1) maximal singular integrals operator
极大奇异积分算子
2) Maximal singular integral
极大奇异积分
1.
using important conclusion for rearrangement function and average rearrangement function on space of homogeneous type,we have obtained previously unknown exponential integrality extimates for maximal singular integral on space of homogeneous type.
利用齐型空间上关于重整函数以及重整平均函数的一些重要结论 ,借助一定的证明技巧得到齐型空间上极大奇异积分 Tf 的指数可积性 ,即∫Eexp[ε( Tf) 1α]dω<∞ ,其中 E为齐型空间 ( X,d,μ)中的 ω测度有限
2.
Using important conclusion for rearrangement function on space of homogeneous type,we obtained the bounded estimation for maximal singular integral on space of homogeneous type
借助函数分解、空间分解的技巧,利用重整函数的不等式性质,得到极大奇异积分算子T的关于p是线性级的LP(X,ω(x)dμ)有界性估计
3) 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
4) 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。
5) 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。
6) 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
补充资料：极大算子和极小算子
极大算子和极小算子
maximal and mnmnal operators
极大算子和极小算子脚.劝加目邵目，汕面司啊呷rators;MaKC班Ma“比戚班M”n皿Ma几I.H丽姐epaT仰址] 由在具有紧支集的函数子空间上给定的微分表示式定义的算子的极大扩张和极小扩张(m助面旧1肚记mj刘h坦1 exte留ions).极大算子和极小算子的定义域可以分为许多情形具体描述，例如，对常微分算子、对椭圆算子、对常系数微分算子.
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