1) Fractional integral and maximal operators
分数次积分和分数次最大算子
2) fractional integral operator
分数次积分算子
1.
Boundedness of the fractional integral operator in weak type Hardy space;
分数次积分算子在弱Hardy型空间中的有界性
2.
The boundedness of fractional integral operators with homogeneous kernel in weak type Hardy spaces is discussed when the kernel of the operators satisfies Dini condition.
讨论具有齐性核的分数次积分算子 ,当核函数满足 Dini条件时在弱 H1 ( IRn)上的有界性问
3.
In this paper, certain orlicz-Hardy-sobolev spaces H_k~φ(R~n)and H_s~φ(R~n)are defined byusing fractional integral operators I~s; then, it proves, under certain condition, that Hφ(R~n) is equivalent to H_k~φ(R_n) when k is a non-negative integer.
本文通过研究分数次积分算子对Orlicz-Hardy空间H_φ(R~n)的作用,引入了势空间H_s~φ(R~n),并给出了其等价刻划,同时证明在一定条件下,当k为整数时,H_k~φ(R~n)等价于Orlicz-Hardy-Sobolev空间H_k~φ(R~n)。
3) fractional integral
分数次积分算子
1.
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。
2.
Sufficient conditions are given for fractional integral operater I α to be bounded from weighted weak Legesgue spaces with some range p into another suitable weighted BMO and Lipschitz spaces of order β .
给出了分数次积分算子从加权Lebesgue空间到加权Lipschitz空间有界性的充分条件 ,同时给出了从加权BMO空间到加权Lipschitz空间有界性的充要条
3.
In this paper we prove the following conclusions:(1)the fractional integral operator I_l and maximal operator M_l are bounded from K_(q1)~(α,p1)(1,ωα)to W K_(q2)~(α,p2)(1,ωβ), where q1=1,0<p1≤1,p1≤p2,0<β<1,α=β(n-l)/n,q2=n/(n-l),0<l<n andω_α(x)=|x|_(-α).
本文我们证明了如下结论: (1)分数次积分算子I_l与分数次极大算子M_l是K_(q1)~(α,p1)(1,ωα)到WK~(q2)~(α,p2)(1,ωβ)中的有界算子,其中q1=1,0
4) fractional maximal operator
分数次极大算子
1.
For fractional maximal operator Mα on Rn,some Ap-type conditions are given on two weights(w,u),so that the two-weight inequalities for Mα are true.
对Rn上的分数次极大算子Mα,给出双权(w,v)满足的Ap型条件使得Mα满足双权强型不等式。
5) maximal fractional operator
分数次极大算子
1.
Some boundedness results are established in the setting of homogeneous Morrey- Herz spaces for a class of higher order commutators T_(b,l)~m and M_(b,l)~m generated by fractional integral operators T_l and maximal fractional operators M_l with function b(x)in BMO(R~n), respectively.
在齐次Morrey-Herz空间上建立了高阶交换子T_(b,l)~m和M_(b,l)~m的有界性,其中T_(b,l)~m和M_(b,l)~m是由分数次积分算子和分数次极大算子分别与BMO(R~n)函数生成的高阶交换子。
6) fractional calculus operators
分数次微积分算子
1.
Using fractional calculus operators of order u,he gets the precise distortion theorems of analytic functions,which belon.
用Hadamard积(或卷积)定义积分算子In+p,并利用算子In+p与微分从属关系定义了p叶解析函数类Tn+p(η;A,B),给出函数f(z)属于类Tn+p(η;A,B)的充分必要条件,考虑类Tn+p(η;A,B)中的函数在u阶分数次微积分算子作用下的准确的偏差定理。
补充资料：分数
| 分数 fraction 数的一种。指两个数的商。一般写成a／b（b≠0）的形式。式中a称为分子，b称为分母。当a、b均为整数，且a＜b时，a／b称为真分数，如2／3。当a＞b时，a／b称为假分数或带分数，如  。若当a、b中至少有一个是分数时，则a／b称为繁分数，如 。有理数都可以化成分数形式来表示。 |
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