1) fractional operator
分数算子
1.
By means of the definition of fractional derivative,some properties of fractional operator and the Laplace transform,the eigenvalues and eigenvalue functions are obtained for a kind of eigenvalue problems of fractional differential equations.
利用分数次导数的定义、分数算子的性质和Laplace变换,得到了一类分数阶微分方程本征值问题的本征值和本征函数。
2) fractional power of operators
分数幂算子
3) fractional derivatives
分数导数算子
1.
With the use of certain operator of fractional derivatives,a new class of analytic andmultivalent functions-S_p(α,β,λ)-is introduced, and the coefficient estimates, the distortion theorems andsome properties of the subclass of S_p(α,β,λ)with negative coefficients are obtained.
使用分数导数算子，引入了新的一族多叶解析函数族Ｓ＿ｐ（α，β，λ），得到了族Ｓ＿ｐ（α，β，λ）中带负系数的子族的系数估计，偏差定理及一些其它的性质。
4) 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)。
5) 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
6) Integral operators/ Z p functions
积分算子/Z_p函数
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