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1)  herz-hardy space
Herz-Hardy空间
1.
In this paper,the author introduces the Herz-Hardy space and discuss es the boundedness of commutators of Littlewood-Paley operators on it.
本文介绍了Herz-Hardy空间及其性质,利用原子分解证明了Littlewood-Paley算子交换子在该空间上的有界性。
2.
There are three chapters in this dissertation, which focuses on three con-tents: the boundedness of commutators generated by the multilinear Caldero′n-Zygmund integral operators and BMO(Rn) functions on the product Herz typespaces, which contains Herz space, Herz-Hardy spaces and Herz-Morrey spaces;we also studied the weighted boundedness of this commutator.
本文共三章,主要研究了三方面的内容:由多线性Calder′on-Zygmund积分算子与BMO(Rn)函数生成的一类多线性交换子在一些Herz型空间中的有界性,包括: Herz空间和Herz-Hardy空间,以及Herz-Morrey空间,最后我们还研究了该交换子的加权LP(Rn)有界性。
2)  herz-type hardy space
Herz型Hardy空间
1.
Boundedness of the θ-type Calderón-Zygmund operators on the Herz-type Hardy spaces.;
θ型Calderón-Zygmund奇异积分算子在Herz型Hardy空间上的有界性
2.
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≤α
3.
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<∞。
3)  Herz type Hardy spaces
Herz型Hardy空间
1.
And their boundedness are obtained in special Herz type Hardy spaces by using the atom decompositions of spaces and the integral estimate of the kernel of Fourier Integral Operator.
讨论了一类Fourier积分算子在特殊Herz型Hardy空间上的性质。
2.
It is proved that [b,T] is bounded on HAbp spaces and Herz type Hardy spaces.
讨论了满足一定条件的θ型Calderón-Zygmund奇异积分与CBMO函数生成的交换子在HAbp空间及Herz型Hardy空间上的有界性。
4)  Herz type Hardy space
Herz型Hardy空间
1.
By enlarging the size condition,the boundlessness of some sublinear operators,which has the characteristic of fractional integral,from Herz type spaces to(weak)Herz type Hardy spaces the weak estimation at the endpoint is obtained.
通过放宽尺寸条件,得到了一类具有分数次积分性质的次线性算子从Herz型Hardy空间到(弱)Herz型Hardy空间有界性的判定条件,以及端点处的弱型估计。
2.
In this paper, the boundedness properties of some sublinear operators on Herz type Hardy spaces are obtained, and the boundedness of Bochner-Riesz operator on Herz type Hardy spaces is proved.
本文得到了一类次线性算子在Herz型Hardy空间上的有界性判定条件,该算子包括调和分析中许多重要的算子,同时还证明了Bochner-Riesz算子在Herz型Hardy空间上的有界性。
5)  weighted Herz-type Hardy spaces
加权Herz型Hardy空间
1.
As an application, it is shown that the strongly singular integral operators are bounded in the weighted Herz-type Hardy spaces.
首先定义了加权Herz型Hardy空间上的分子并证明了其分子刻画。
6)  homogeneous Herz-type Hardy spaces
齐次Herz型Hardy空间
补充资料:Herz reaction
分子式:
CAS号:

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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