1) 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。
2) 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。
3) multilinear fractional maximal operator
多线性分数次极大算子
1.
Moreover,the corresponding results of the multilinear fractional maximal operator are obtained.
进一步得到多线性分数次极大算子的相应结果。
4) Fractional integral and maximal operators
分数次积分和分数次最大算子
5) fractional maximal function
分数次极大函数
1.
This paper introduces the fractional integrals and the fractional maximal functions on(Rn),and discusses their boundedness.
在非二倍测度条件下引入分数次积分和分数次极大函数,并讨论了它们的有界性,其结果与二倍测度相应结果一致。
2.
In this paper,the boundedness property on Lebesgue spaces for commutators generated by fractional maximal functions with BMO(R~n) functions are characterized.
本文刻画了由分数次极大函数与BMO(R~n)函数生成的交换子在Lebesgue空间中的有界性。
6) 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)。
补充资料：极大算子和极小算子
极大算子和极小算子
maximal and mnmnal operators
极大算子和极小算子脚.劝加目邵目，汕面司啊呷rators;MaKC班Ma“比戚班M”n皿Ma几I.H丽姐epaT仰址] 由在具有紧支集的函数子空间上给定的微分表示式定义的算子的极大扩张和极小扩张(m助面旧1肚记mj刘h坦1 exte留ions).极大算子和极小算子的定义域可以分为许多情形具体描述，例如，对常微分算子、对椭圆算子、对常系数微分算子.
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条