共查询到20条相似文献,搜索用时 15 毫秒
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The boundedness and compactness of an integral-type operator, which has been recently introduced by the first author, between weighted-type spaces and Bloch-type spaces on the unit ball are studied here. 相似文献
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Stevo Stevi? 《Applied mathematics and computation》2010,215(11):3817-5421
Let H(B) denote the space of all holomorphic functions on the open unit ball B of Cn and g∈H(B). We characterize the boundedness and compactness of the following integral-type operator
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On a new integral-type operator from the Bloch space to Bloch-type spaces on the unit ball 总被引:1,自引:0,他引:1
Stevo Stevi? 《Journal of Mathematical Analysis and Applications》2009,354(2):426-434
We introduce the following integral-type operator on the space H(B) of all holomorphic functions on the unit ball B⊂Cn
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Let denote the space of all holomorphic functions on the unit ball . This paper investigates the following integral-type operator with symbol where is the radial derivative of g. The boundedness and compactness of the operator Tg from Bloch-type spaces to Zygmund-type spaces are studied. 相似文献
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Let H(B) denote the space of all holomorphic functions on the unit ball B of . Let φ be a holomorphic self-map of B and gH(B), such that g(0)=0. We study the boundedness and compactness of the following integral-type operator recently introduced by Stevićbetween Bloch-type spaces. Our main results are natural extensions of some results in the following paper: S. Stević, On a new integral-type operator from the Bloch space to Bloch-type spaces on the unit ball, J. Math. Anal. Appl. 354 (2009) 426–434. 相似文献
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On an integral-type operator from iterated logarithmic Bloch spaces into Bloch-type spaces 总被引:1,自引:0,他引:1
Let H(B) denote the space of all holomorphic functions on the open unit ball B of Cn. Let φ=(φ1,…,φn) be a holomorphic self-map of B and g∈H(B) such that g(0)=0. In this paper we study the boundedness and compactness of the following integral-type operator, recently introduced by Xiangling Zhu and the second author
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Let H(B) denote the space of all holomorphic functions on the unit ball B of Cn. Let φ be a holomorphic self-map of B and g ∈ H(B) such that g(0) = 0. In this paper, we investigate the boundedness and compactness of the generalized composition operator
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Weifeng Yang 《Applied mathematics and computation》2011,218(4):1443-1448
In this note we characterize the boundedness and compactness of the composition operator from the general function space F(p, q, s) to the nth weighted-type space on the unit disk, where the nth weighted-type space has been recently introduced by Stevo Stevi?. 相似文献
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We completely characterize the boundedness and compactness of composition operators from the space of Cauchy transforms on the unit disk D, into the Bloch-type space Bν as well as the little Bloch-type space Bν,0, consisting respectively of all holomorphic functions f on D such that supz∈Dν(z)|f′(z)|<∞, that is, of all holomorphic functions f on D such that lim|z|→1ν(z)|f′(z)|=0, for some weight function ν. As a byproduct of our results, norm of the operator is calculated when Bν is replaced by Bν/C. 相似文献
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Products of integral-type operators and composition operators from the mixed norm space to Bloch-type spaces 总被引:1,自引:0,他引:1
Siberian Mathematical Journal - We give a complete picture of the boundedness and compactness of the products of integral-type operators and composition operators from the mixed norm space to... 相似文献
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Stevo Stevi? 《Applied mathematics and computation》2011,218(8):4312-4316
Some results on the boundedness and compactness of composition followed by differentiation between Bloch-type spaces are refined in this paper. 相似文献
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Stevo Stevi? 《Applied mathematics and computation》2011,217(12):5930-5935
We characterize the boundedness and compactness of a product of radial-derivative, composition and multiplication operators from Bloch spaces to weighted-type spaces on the unit ball. 相似文献
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Stevo Stevi? 《Applied mathematics and computation》2010,216(12):3541-4316
Let H(B) denote the space of all holomorphic functions on the unit ball B⊂Cn. The boundedness and compactness of the following integral-type operators
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P. Mandal C. Nahak 《Applied mathematics and computation》2011,217(21):8141-8148
In this paper we introduce a new type of generalized invex function, called (p, r) − ρ − (η, θ)-invex function and study symmetric duality results under these assumptions. In our study the nonnegative orthants for the constraints are replaced by closed convex cones and their polars. We establish weak and strong duality theorems under (p, r) − ρ − (η, θ)-invexity assumptions for the symmetric dual problems. We also give many examples to justify our results. 相似文献
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Stevo Stevi? 《Applied mathematics and computation》2010,216(12):3634-4972
We characterize the boundedness and compactness of weighted differentiation composition operators from the space of bounded analytic functions, the Bloch space and the little Bloch space to nth weighted-type spaces on the unit disk. 相似文献
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Huai-Xin Cao Lan Li Qing-Jiang Chen Guo-Xing Ji 《Journal of Mathematical Analysis and Applications》2008,347(2):583-591
In this paper, (p,Y)-Bessel operator sequences, operator frames and (p,Y)-Riesz bases for a Banach space X are introduced and discussed as generalizations of the usual concepts for a Hilbert space and of the g-frames. It is proved that the set of all (p,Y)-Bessel operator sequences for a Banach space X is a Banach space and isometrically isomorphic to the operator space B(X,ℓp(Y)). Some necessary and sufficient conditions for a sequence of operators to be a (p,Y)-Bessel operator sequence are given. Also, a characterization of an independent (p,Y)-operator frame for X is obtained. Lastly, it is shown that an independent (p,Y)-operator frame for X is just a (p,Y)-Riesz basis for X and has a unique dual (q,Y*)-operator frame for X*. 相似文献
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We develop the beginning of a theory of semigroups of linear operators on p-Fréchet spaces, 0 < p < 1 (which are non-locally convex F-spaces), and give some applications. 相似文献