共查询到20条相似文献,搜索用时 31 毫秒
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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 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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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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Let B denote the unit ball in Cn and H(B) the space of all holomorphic functions on B. We study the boundedness and compactness of the following integral-type operators
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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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Let s∈R, τ∈[0,∞), p∈(1,∞) and q∈(1,∞]. In this paper, we introduce a new class of function spaces which unify and generalize the Triebel-Lizorkin spaces with both p∈(1,∞) and p=∞ and Q spaces. By establishing the Carleson measure characterization of Q space, we then determine the relationship between Triebel-Lizorkin spaces and Q spaces, which answers a question posed by Dafni and Xiao in [G. Dafni, J. Xiao, Some new tent spaces and duality theorem for fractional Carleson measures and Qα(Rn), J. Funct. Anal. 208 (2004) 377-422]. Moreover, via the Hausdorff capacity, we introduce a new class of tent spaces and determine their dual spaces , where s∈R, p,q∈[1,∞), max{p,q}>1, , and t′ denotes the conjugate index of t∈(1,∞); as an application of this, we further introduce certain Hardy-Hausdorff spaces and prove that the dual space of is just when p,q∈(1,∞). 相似文献
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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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This paper studies the eigenvalues of the p(x)-Laplacian Dirichlet problem
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Xiangling Zhu 《Applied mathematics and computation》2010,215(12):4340-4972
Let H(D) denote the class of all analytic functions on the open unit disk D of C. Let φ be an analytic self-map of D and u∈H(D). The weighted composition operator is defined by
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Ameur Seddik 《Journal of Mathematical Analysis and Applications》2009,351(1):277-1777
Let B(H) be the C*-algebra of all bounded linear operators acting on a complex Hilbert space H. In this note, we shall show that if S is an invertible normal operator in B(H) the following estimation holds
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Qinghua Pi 《Journal of Number Theory》2010,130(10):2283-2292
Let g be a fixed normalized Hecke-Maass cusp form for SL(2,Z) associated to the Laplace eigenvalue . We show that g is uniquely determined by the central values of the family for k sufficiently large, where Hk(1) denotes a Hecke basis of the space of holomorphic cusp forms for SL(2,Z). 相似文献
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Let A,B:(0,∞)?(0,∞) be two given weight functions and consider the equation
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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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So-Chin Chen 《Journal of Mathematical Analysis and Applications》2004,297(1):38-47
In contrast to the famous Henkin-Skoda theorem concerning the zero varieties of holomorphic functions in the Nevanlinna class on the open unit ball Bn in , n?2, it is proved in this article that for any nonnegative, increasing, convex function ?(t) defined on , there exists satisfying such that there is no f∈Hp(Bn), 0<p<∞, with . Here Ng(ζ,1) denotes the integrated zero counting function associated with the slice function gζ. This means that the zero sets of holomorphic functions belonging to the Hardy spaces Hp(Bn), 0<p<∞, unlike that of the holomorphic functions in the Nevanlinna class, cannot be characterized in the above manner. 相似文献