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1)  Herz space
Herz空间
1.
The weak estimates for sublinear operators on weighted Herz spaces;
次线性算子在加权Herz空间上的弱型估计
2.
The fractional integration operator on Herz spaces on spaces of Homogeneous type;
齐型空间上Herz空间中的分数次积分算子
3.
This paper provided the boundary proof of Littlewood-Paley g~~~(*-)___λ function from Herz-type Hardy space H(K)·~(α,p)_q(R~n) to Herz space (K)·~(α,p)_q(R~n)(weak Herz space W(K)·~(α,p)_q(R~n)) if n1-1q≤α<n1-1q+(ε α=n1-1q+ε.
给出了当n1-1q≤αHerz空间K·α,pq(Rn)(弱Herz空间WK·α,pq(Rn))中的有界性证明。
2)  Herz spaces
Herz空间
1.
Weak boundedness for sublinear operatos in Herz spaces over Vilenkin groups are obtained and its applications are given.
证明了一类次线性算子在Vilenkin群上的Herz空间的弱型有界性,给出了该结果的一些应用。
2.
consider a class of Marcinkiewicz integrals M(f)(x)=[integral form n=0 to ∞│∫_(x-y)≤tk(x,y)f(y)dμ(y)│~2dt/t~3]1/2,x∈R~d,,The boundness on Herz space and the boundness from Herz spaces to weak Herz spaces are established.
证明了它是在Herz空间Kαq,p(μ)上有界,同时也是从Herz空间Kαq,p(μ)到弱Herz空间WKqα,p(μ)上有界。
3.
In the course of proof,we use the decomposition characterization of Herz spaces on the homogeneous spaces.
在齐型空间上Herz空间中,通过范数概念定义了相应的有界平均震荡函数,进而利用调和分析中相关理论讨论了极大算子交换子的有界性,并给出具体证明过程,从而推广了该理论体系。
3)  weak Herz space
弱Herz空间
1.
This paper provided the boundary proof of Littlewood-Paley g~~~(*-)___λ function from Herz-type Hardy space H(K)·~(α,p)_q(R~n) to Herz space (K)·~(α,p)_q(R~n)(weak Herz space W(K)·~(α,p)_q(R~n)) if n1-1q≤α<n1-1q+(ε α=n1-1q+ε.
给出了当n1-1q≤αHerz空间K·α,pq(Rn)(弱Herz空间WK·α,pq(Rn))中的有界性证明。
2.
It is proved thatμΩ,b is bounded from the Herz-type Hardy space H■_q~(n(1-(1/q)),p)(R~n)into the weak Herz space W■_q~(n(1-(1/q)),p)(R~n)when 0<p≤1 and 1<q<∞.
本文证明了交换子μΩ,b是从Herz型Hardy空间H■_q~(n(1-(1/q)),p)(R~n)到弱Herz空间W■_q~(n(1-(1/q)),p)(R~n)有界的,其中0<p≤1,1<q<∞。
4)  Morrey-Herz space
Morrey-Herz空间
1.
Under the inspiration of the definitions of Morrey space and Herz spaces, we have the Morrey-Herz spaces.
在Morrey空间、Herz空间的定义启发下,我们知道有Morrey-Herz空间的概念。
2.
Using the relation between homogeneous Morrey-Herz spaces MK·α,λp,q(Rnn) and homogeneous Herz spaces K·α,pq(Rnn),some results on K·α,pq(Rnn) were extended.
利用齐次Morrey-Herz空间MK。
5)  Herz-Morrey spaces
Herz-Morrey空间
1.
The boundedness on Herz-Morrey spaces is established for a class of Marcinkiewicz integral commutators generated by BMO(Rn) function and Marcinkiewicz integrals with rough kernels.
建立了一类具有粗糙核的Marcinkiewicz积分交换子在齐型Herz-Morrey空间上的有界性。
2.
The authors introduce some Herz-Morrey spaces on spaces of homogeneous type, which are the generalizations of the Herz spaces and the classical Morrey spaces.
在齐型空间上定义了 Herz-Morrey空间 ,并研究了某些次线性算子在 Herz-Morrey空间上的有界
6)  Herz-Morrey space
Herz-Morrey空间
1.
Boundedness of commutators on Herz-Morrey spaces;
Herz-Morrey空间上的交换子
2.
Boundedness of sublinear operators on Herz-Morrey spaces;
次线性算子在Herz-Morrey空间上的有界性
3.
Boundedness of multilinear Calderón-Zygmund singular integral operators on Herz-Morrey spaces
多线性Calderón-Zygmund在Herz-Morrey空间上的有界性
补充资料:Herz reaction
分子式:
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性质:芳香伯胺与一氯化硫(S2Cl2)反应生成赫茨化合物,再用碱处理转化为对氯间巯基芳胺。芳环上可有各种取代基团,若对位有取代基在反应中会被氯取代。这类化合物是合成硫靛染料重要原料,因此本反应在染料工业中有重要意义。

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