共查询到16条相似文献,搜索用时 120 毫秒
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This paper deals with the boundedness and compactness of the compositionintegral type operators T g, from F (p, q, s) spaces to(little) Bloch-type spaces in the unit ball of C n , where Tg,φf(z) =∫01fφ(tz)Rg(tz)(dt)/t , z ∈ B, g ∈ H(B) and φ∈H(B, B). 相似文献
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陈泳 《纯粹数学与应用数学》2007,23(3):366-371
为得到一类广泛的解析函数空间F(p,q,s)之间的嵌入关系,将每个空间F(p,q,s)对应为三维空间R(F)中一点(p,q,s),从而将空间之间的嵌入关系转化为三维空间中直线的单调性进行了研究,完善了已有的结果. 相似文献
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研究了单位球上F(p,q,s)空间到β_μ空间的加权复合算子的有界性和紧性问题.利用泛函分析多复变的方法,获得了单位球上F(p,q,s)空间到β_μ空间的加权复合算子为有界算子和紧算子的充要条件. 相似文献
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在0p∞,0≤s∞,max{-n-1,-s-1}q∞的条件下,证明了Gleason问题在C~n中以单位球为支撑集的一般函数空间F(p,q,s)上是可解的. 相似文献
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本文研究了单位球上F(p,q,s)空间到βμ空间的加权Cesàro算子的有界性和紧性问题.利用泛函分析与多复变的方法,获得了单位球上F(p,q,s)空间到βμ空间的加权Cesàro算子为有界算子和紧算子的充要条件. 相似文献
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设μ是正规函数,文中探讨了多复变中单位球上一般函数空间F(p,q,s)到广义Bloch型空间β_μ的点乘子,并给出了几个推论. 相似文献
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该文分别给出了单位球B上空间F(p, q, s)到空间βα之复合算子C_{varphi}为有界算子和紧算子的充要条件.同时作为推论获得了Bloch型空间的相应结果. 相似文献
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设p>0,s ≥ 0,q>max{-n-1,-s-1},本文探讨了单位球上F(p,q,s)空间的一种等价刻画和分解问题.具体结果为:(1) f∈ F(p,q,s)当且仅当f∈ H(B),且Ip=supa∈B∫B|Rα,γf(z)|p(1-|z|2)q+pγ-p(1-|φa(z)|2)sdv(z)<∞,其中α>-1 和γ>max{0,1-(q+s+1)/p,1-(q+n+1)/p}. (2) 若{dk}∈ ∫p,则存在序列{wk}⊂B,使得 f(z)=∑k=1∞(dk(1-|wk|2)t+1)/(1-k>)t+(q+n+1)/p)(z∈B)属于F(p,q,s),其中t>max{1-1/p,0}(q+n+1)+max{1/p,1}s-1. 相似文献
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In this work, the authors introduce the concept of
$(p,q)$-quasi-contraction mapping in a cone metric space. We prove
the existence and uniqueness of a fixed point for a
$(p,q)$-quasi-contraction mapping in a complete cone metric space.
The results of this paper generalize and unify further fixed point
theorems for quasi-contraction, convex contraction mappings and
two-sided convex contraction of order $2$. 相似文献
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The aim of this paper is to define $(p, q)$-analogue of Mittag-Leffler Function, by using $(p, q)$-Gamma function. Some transformation formulae are also derived
by using the $(p, q)$-derivative. The $(p, q)$-analogue for this function provides elegant
generalization of $q$-analogue of Mittag-Leffler function in connection with $q$-calculus.
Moreover, the $(p, q)$-Laplace Transform of the Mittag-Leffler function has been obtained. Some special cases have also been discussed. 相似文献
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Yu-Xia Liang 《复变函数与椭圆型方程》2015,60(2):282-291
We characterize the boundedness and compactness of an integral-type operator introduced by S. Stevi? from a weighted-type space to F(p,q,s) space on the unit ball of ?n. 相似文献
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In this paper,we study the compact operators on weighted Bergman spaces of the unit ball.Extending Miao and Zheng’result in 2004,we obtain the necessary and sufficient conditions for the operator to be compact on weighted Bergman spaces of the unit ball under some integrable conditions. 相似文献