1) fractional Hardy operators
分数次Hardy算子
1.
In this paper the concept of classical fractional Hardy operators and commutators are introduced firstly.
先介绍了经典的分数次Hardy算子及交换子的概念,然后再结合齐次Morrey-Herz空间的定义。
3) fractional Hardy-Littlewood average
分数次Hardy-Littlewood平均
1.
According to fractional Hardy inequality,the boundedness of commutators generated by fractional Hardy-Littlewood average operators and Lipschitz functions on R~+ is obtained.
对应于分数次Hardy不等式,考虑了由分数次Hardy-Littlewood平均算子与Lipschitz函数生成的交换子在R+上的有界性。
4) Hardy-Littlewood operator
Hardy-Littlewood算子
1.
Based on the definition of the Hardy -Littlewood operator,which is expan ded to even or odd function in real and the boundedness of the Hardy -Littlewood operator in the space BMO,this paper studies the qualities of operator in the space an d develops the new result of boundedn ess of the Hardy -Littlewood operato r in the space by estimating delicately.
文献[2]中,给出了R上奇偶延拓的Hardy-Littlewood算子的定义,并证明了Hardy-Little-wood算子在函数空间BMO上的有界性。
5) Hardy operator
Hardy算子
1.
Certain characterizations of some nonlinear difference equations having increasing positive solutions are obtained,these characterizations are related to the weighted boundedness of the discrete Hardy operator.
对一类具有单调正解的非线性二阶差分方程 ,得到了其刻划 ,这些刻划与离散的 Hardy算子的加权有界性相关。
2.
Characterizations are obtained for those pairs of weight functions U,V or which the Hardy operator Tf(x)=integral from n=0 to x(f(t)dt) is bounded from space L~P(R_,vdx)to L~q(R+,udx),Where 1≤q< p<+∞,R_=(0,+∞).
本文得到了Hardy算子Tf(x)=integral from n=0 to z(f(t)dt)从空间L~p(R+,vdx)到L~q(R+,Udx)有界的权函数对(u,v)的特征,其中1≤q
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：连分数的渐近分数
连分数的渐近分数
convergent of a continued fraction
连分数的渐近分数l阴ve吧e时ofa阴‘毗d五，比.;n侧卫xp口.坦”八卯6‘] 见连分数(con tinued fraction).
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