共查询到20条相似文献,搜索用时 78 毫秒
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本文研究了Bloch型空间中函数性质问题.利用拟双曲度量及一些不等式得到了Bloch型空间Bα(Bn) (0< α ≤ 1)的一个新的刻画,该刻画将Bloch型空间Bα(Bn)的Holland-Walsh刻画推广到一个高阶形式. 相似文献
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设 μ 是 [0, 1)上的正规函数,Bn 是 n 维复空间 Cn 上的单位球, ψ 是 Bn 上的一个全纯函数,? 是 Bn 上的全纯自映射. 作者考虑如下一种积分算子:T?,ψ(f)(z) =Z01f[?(tz)]Rψ(tz)dt/t, z ∈ Bn.作者主要刻画了正规权Dirichlet型空间Dpμ(Bnn) (0 < p ≤ 1) 上 T?,ψ 的有界性和紧性.同时, 本文利用Carleson 方块和Bergman球的测度讨论了正规权Bergman型空间Apμ(Bn) 到 Dpμ(Bn) (p > 0)的同样问题. 对讨论的情形本文均给出了充要条件. 相似文献
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借助于Fourier变换,在较弱条件下给出了φ(x)是L2(Rs)上正交尺度函数的一个充分必要条件.进一步, 假设 {Ψμ } 是正交小波, 且正交小波的Fourier变换紧支集是
∪μsupp{ψμ} =∏si=1[Ai, Di] -∏si=1(Bi, Ci),Ai≤Bi≤Ci≤Di, i =1, 2,… , s.
则在最弱条件“每一个 |ψμ| 在ω∈∂(∏si=1[Ai, Di]) 上连续'下, 该文通过一些不等式和等式给出了正交尺度函数和正交小波的Fourier变换紧支集的刻画.文中的结论全面改进了龙瑞麟和张之华的结果. 相似文献
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本文研究了D4 型量子包络代数的Gelfand-Kirillov 维数的计算问题. 利用文献[1] 中给出的Gelfand-Kirillov 维数的计算方法和文献[2] 中给出的D4 型量子包络代数的Groebner-Shirshov 基计算了D4型量子包络代数的Gelfand-Kirillov 维数, 得到的主要结果是D4 型量子包络代数的Gelfand-Kirillov 维数为28. 希望此结果为计算Dn型量子包络代数的Gelfand-Kirillov 维数提供一些思路. 相似文献
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α型β级Bazilevic函数的Fekete-Szeg?问题 总被引:14,自引:0,他引:14
设B(α,β)(α>0,0≤β<1)表示在单位圆盘内定义的规范化的α型β级Bazilevic函数类.本文对B(α,β)中函数f(z)=z+∑from∞to(n=2)anzn得到|a3-λa22|(0≤λ≤1)的准确估计. 相似文献
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本文证明了存在开平面C内的一个半径趋于无穷的圆盘序列(Dn),使得对于任何有穷正级整函数f(z),Borel定理在C\∪ Dn中成立.本文还讨论了微分多项式的相应的问题,并且证明了关于亚纯函数的Borel可去集的一个一般性结果。 相似文献
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本文研究了有限域上置换多项式的构造问题.利用分段方法构造了Fq2上形如(xq-x+c)(k(q2-1))/(d)+1+xq+x的置换多项式,其中1≤k < d且d是q-1的任意因子,推广了已有文献中的某些结果. 相似文献
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杨刘 《数学年刊A辑(中文版)》2021,42(4):349-358
本文证明如下定理: 设f为Cn上的一个非常数整函数,LD(f) = akDkf +ak?1Dk?1f +· · · + a1Df + a0f,其中aj ∈ C, ak ≠ 0, Dj f是f的j阶全导数(j=1,2, · · ·,k).若f与LD(f)两个有穷的CM分担值, 则f=LD(f). 相似文献
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Generalized B-vex functions and generalized B-vex programming 总被引:21,自引:0,他引:21
C. R. Bector S. K. Suneja C. S. Lalitha 《Journal of Optimization Theory and Applications》1993,76(3):561-576
A class of functions called pseudo B-vex and quasi B-vex functions is introduced by relaxing the definitions of B-vex, pseudoconvex, and quasiconvex functions. Similarly, the class of B-invex, pseudo B-invex, and quasi B-invex functions is defined as a generalization of B-vex, pseudo B-vex, and quasi B-vex functions. The sufficient optimality conditions and duality results are obtained for a nonlinear programming problem involving B-vex and B-invex functions.The first author is thankful to the Natural Science and Engineering Research Council of Canada for financial support through Grant A-5319. The second author is grateful to the Faculty of Management, University of Manitoba for the financial support provided for her visit. The authors are thankful to Prof. R. N. Kaul, Department of Mathematics, Delhi University for his constructive criticism of the paper. 相似文献
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本文给出了由解析函数的实部或虚部求该解析函数的几个定理,再以例题说明其应用。这些方法及应用,解决了复变函数中这一问题的理论与计算,而且所给方法能广泛进行推广。 相似文献
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Árpád Baricz 《Journal of Mathematical Analysis and Applications》2006,319(2):450-459
Let up(x) be the generalized and normalized Bessel function depending on parameters b,c,p and let σ(r)=up(1−r2)/up(r2), r∈(0,1). Motivated by an open problem of Anderson, Vamanamurthy, and Vuorinen we prove that for all r1,r2∈(0,1) for certain conditions on the parameters b,c,p. 相似文献
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Estimates on the initial coefficients are obtained for normalized analytic functions f in the open unit disk with f and its inverse g=f−1 satisfying the conditions that zf′(z)/f(z) and zg′(z)/g(z) are both subordinate to a univalent function whose range is symmetric with respect to the real axis. Several related classes of functions are also considered, and connections to earlier known results are made. 相似文献
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John T. Conway 《Integral Transforms and Special Functions》2017,28(3):166-180
A method is given for deriving indefinite integrals involving squares and other products of functions which are solutions of second-order linear differential equations. Several variations of the method are presented, which applies directly to functions which obey homogeneous differential equations. However, functions which obey inhomogeneous equations can be incorporated into the products and examples are given of integrals involving products of Bessel functions combined with Lommel, Anger and Weber functions. Many new integrals are derived for a selection of special functions, including Bessel functions, associated Legendre functions, and elliptic integrals. A number of integrals of products of Gauss hypergeometric functions are also presented, which seem to be the first integrals of this type. All results presented have been numerically checked with Mathematica. 相似文献
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In this article, we define a subclass of meromorphic multivalent Sakaguchi type functions and obtain certain sufficient conditions for functions to be in this class. The main result presented here includes a number of consequences as its special cases. 相似文献
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Miroljub Jevti? 《Journal of Mathematical Analysis and Applications》2004,296(1):276-285
We show that the spaces of harmonic functions with respect to the Poincaré metric in the unit ball BN in have many different properties depending upon whether N is even or odd. 相似文献
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Dual feasible functions have been used to compute bounds and valid inequalities for combinatorial optimization problems. Here, we analyze the properties of some of the best functions proposed so far. Additionally, we provide new results for composed functions. These results will allow improving the computation of bounds and valid inequalities. 相似文献
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In this article, we define a subclass of meromorphic multivalent Sakaguchi type functions and obtain certain sufficient conditions for functions to be in this class. The main result presented here includes a number of consequences as its special cases. 相似文献