1) θ(t) type Calderón-Zygmund operator
θ(t)型Calderón-Zygmund算子
1.
By the atomic decompositions,we get that the θ(t) type Calderón-Zygmund operators are bounded from H1,∞atb(μ) to L1(μ) and from L∞(μ) to RBMO(μ) for non-doubling measure.
本文研究了奇异积分算子在非双倍测度下的有界性问题,利用原子分解理论,证明了θ(t)型Calderón-Zygmund算子在非双倍测度下是从Hatb1,∞(μ)到L1(μ)以及从L∞(μ)到RBMO(μ)有界的。
2.
In this paper,under this assumption,the boundedness of the commutators of RBMO(μ) with θ(t) type Calderón-Zygmund operators from L∞(μ) to RBMO(μ) and from H1b(μ) to L1(μ) are established.
本文中,在这种非双倍测度下证明了RBMO(μ)与θ(t)型Calderón-Zygmund算子的交换子是L∞(μ)到RBMO(μ)有界的,同时还建立了该交换子H1b(μ)到L1(μ)的有界性。
3) 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。
4) 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。
5) Calderón-Zygmund operators
Calderón-Zygmund算子
1.
For a class of maximal commutators which are the variants of the usual maximal Calderón-Zygmund commutators associated with Calderón-Zygmund operators and Lipschitz functions,their boundedness in Lebesgue spaces is established and some endpoint estimates are obtained.
建立了一类与Calderón-Zygmund算子和Lipschitz函数相关的极大交换子在非齐型空间上的Lebesgue空间中的有界性以及某些端点估计。
2.
The boundedness is established of the commutators generated by Calderón-Zygmund operators or fractional integrals with RBMO(μ) functions or Lipschitz functions in Morrey spaces on nonhomogeneous spaces.
证明了由Calderón-Zygmund算子或分数次积分算子与RBMO(μ)函数以及Lipschitz函数生成的交换子在非齐型空间上的Morrey空间中的有界性。
6) θ(t)-Calderon-Zygmund operator
θ(t)-Calderon-Zygmund算子
补充资料：θ型复制
分子式：
CAS号：
性质：在原核生物中发现的一种DNA复制机制。复制是在环形DNA分子某一点(复制起始点)上开始的。当复制围绕着染色体的两个方向进行时，所形成的复制泡状物延续生长。这种复制是把一个环形染色体转化成两个子代染色体的方法。
CAS号：
性质：在原核生物中发现的一种DNA复制机制。复制是在环形DNA分子某一点(复制起始点)上开始的。当复制围绕着染色体的两个方向进行时，所形成的复制泡状物延续生长。这种复制是把一个环形染色体转化成两个子代染色体的方法。
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