1) multilinear oscillatory integral
广义Calderón-Zygmund核
2) generalized Calderón-Zygmund operator
广义Calderón-Zygmund算子
1.
Boundedness of commutators of generalized Calderón-Zygmund operators
广义Calderón-Zygmund算子交换子的有界性
2.
It is proved that the generalized Calderón-Zygmund operators of vector valued kernels are bounded and weighted bounded from Hardy spaces HK_p associated with Herz spaces to vector valued Herz spaces K_ E,p .
文中完善了参考文献[5]中的结论,在通常的标准假设下,证明了一类具有向量值核的广义Calderón-Zygmund算子从Herz型Hardy空间HKp到向量值Herz空间KE,p的有界性及加权有界性。
3) μ-Calderón-Zygmund kernel
μ-Calderón-Zygmund核
1.
The boundedness of some generalized oscillatory singular integral operators with μ-Calderón-Zygmund kernel was obtained.
Ricci和Stein证明了一类振荡奇异积分算子的Lp(Rn)(1
2.
The boundedness of a class of oscillatory singular integral with μ-Calderón-Zygmund kernel on Lp(Rn)(1<p<∞) was obtained.
对于一类具μ-Calderón-Zygmund核的振荡奇异积分算子,已经得到了它的Lp(Rn)(1
4) variable Calderón-Zygmund kernel
可变Calderón-Zygmund核
1.
In this paper,the continuity for some multilinear operators generated by the singular integral operators with variable Calderón-Zygmund kernel and Lipschitz functions on some Hardy and Herz-type spaces are proved.
证明带有可变Calderón-Zygmund核的奇异积分算子与Lipschitz函数生成的多线性算子在Hardy和Herz型空间的连续性问题。
2.
In this paper,we prove the weighted continuity for some multilinear singular integral operators with variable Calderón-Zygmund kernel on and Morrey spaces.
本文证明了一类带可变Calderón-Zygmund核的多线性奇异积分算子在Lp和Morrey空间的加权连续性。
5) θ-type Calderón-Zygmund kernel
θ型Calderón-Zygmund核
1.
The maximal multilinear singular integral operator of θ-type Calderón-Zygmund kernel is discussed,and the L~p-boundedness for this kind of maximal operators is proved.
研究了θ型Calderón-Zygmund核的多线性奇异积分极大算子,证明了这类极大算子的L~p-有界性。
6) Calderón-Zygmund operator
Calderón-Zygmund算子
1.
A new Hardy space H_b~p,where b is a pars- accretive function,was recently introduced and the boundedness of Calderón-Zygmund operators T from the classical Hardy space H~p to the new Hardy space H_b~p was also proven if T~* (b) = 0.
众所周知,如果Calderón-Zygmund算子T满足T~*(1)=0,则算子T在H~p,n/(n+ε)
2.
As an appli- cation,the authors prove that the commutators generated by Calderón-Zygmund operators with Osc_(exp L~r) (μ) functions for r≥1 satisfy the same weak estimates,where Osc_(exp L~r) (μ) RBMO(μ)с if r>1 and Osc_(exp L~r)(μ)=RBMO(μ) if r=1.
作为应用,证明了由Calderón-Zygmund算子和Osc_(exp L~r)(μ)函数生成的交换子在弱Herz空间中的弱型估计,其中r≥1。
3.
The theory of singular integrals especially the commutator of Calderón-Zygmund operator has been extensively applied to the partial differential equations and other pertinent fields.
奇异积分理论特别是Calderón-Zygmund算子广泛应用于偏微分方程及其它相关领域的研究。
补充资料：广义
范围较宽的定义（跟‘狭义’相对）：～的杂文也可以包括小品文在内。
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