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In this paper, we study weighted composition operators on the Hilbert space of Dirichlet series with square summable coefficients. The Hermitianness, Fredholmness and invertibility of such operators are characterized, and the spectra of compact and invertible weighted composition operators are also described. 相似文献
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In this paper, we discuss the Valiron's theorem in the unit polydisk DN. We prove that for a holomorphic map φ : DN→ DNsatisfying some regular conditions, there exists a holomorphic map θ : DN→ H and a constant α 0 such that θoφ =1/aθ.It is based on the extension of Julia-Wolff-Carath′eodory(JWC) theorem of D in the polydisk. 相似文献
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单位圆内拟亚纯映射的Borel点 总被引:3,自引:0,他引:3
邓方文 《数学物理学报(A辑)》2000,20(4):562-567
研究了单位圆内的拟亚纯映射,建立了角域内的基本不等式,从而证明了拟亚纯映射的Borel点的存在性。 相似文献
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邓方文 《数学物理学报(B辑英文版)》2003,23(3):419-425
In this paper,the Nevanlinna direction, Borel direction and exceptional value of quasimeromorphic mapping are discussed and some results are obtained. 相似文献
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NORMAL FAMILY OF COMPOSITIONS OF HOLOMORPHIC FUNCTIONS AND THEIR HIGH ORDER DERIVATIVES 总被引:1,自引:0,他引:1
邓方文 《数学物理学报(B辑英文版)》2003,23(4)
Let F = {f} be a family of entire functions and f(k) the k-th derivative of f. The author studies the relation of the nomality of F and that of {f(k) o f : f∈F} or {f o f(k):f∈F}. 相似文献
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Let D be the unit disc and H(D) be the set of all analytic functions on D. In [2], C. Cowen defined a space H = f ∈ H(D) : f(z) =sum from k=o to ∞ ak(z + 1)k, z∈ D, ‖f‖2 = sum from k=o to ∞ |ak|24k < ∞In this article, the authors consider the similar Hardy spaces with arbitrary weights and discuss some properties of them. Boundedness and compactness of composition operators between such spaces are also studied. 相似文献
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邓方文 《数学物理学报(A辑)》2000,20(Z1):699-701
定义了拟有理映照的Fatou集,将有理映照的部分结果推广到拟有理映照,并提出了供进一步研究的问题. 相似文献
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单位圆内拟亚纯映射的充满圆 总被引:3,自引:0,他引:3
对于单位圆内的拟亚纯映射,研究了其充满圆的一个几何性质,从而证明了一个充满圆序列的存在性定理。 相似文献
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