Results 61 to 70 of about 1,178 (152)
Integral means of the derivatives of Blaschke products
We study the rate of growth of some integral means of the derivatives of a Blaschke product and we generalize several classical results. Moreover, we obtain the rate of growth of integral means of the derivative of functions in the model subspace $K_B ...
Mashreghi, Javad, Fricain, Emmanuel
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Let $\{\theta\sb{n}(\omega)\}$ be a sequence of independent random variables uniformly distributed on (0,2$\pi$), and let $z\sb{n}(\omega) + r\sb{n}e\sp{i\theta n(\omega)}$ for a fixed but arbitrary sequence of radii $r\sb{n}$ satisfying the Blaschke ...
Cochran, W. George
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Asymptotic values of modulus 1 of Blaschke products
A sufficient condition is found for each subproduct of a Blaschke product to have an asymptotic value of modulus 1 along a prescribed arc of a specified type in the unit disc.
C. N. Linden, K. K. Leung
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On the composition of Frostman Blaschke products
We construct an infinite uniform Frostman Blaschke product B such that B composed with itself is also a uniform Frostman Blaschke product. We also show that the set of uniform Frostman Blaschke products is open in the set of inner functions with the ...
Akeroyd, John R., Gorkin, Pamela
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Integral Means and Zero Distributions of Blaschke Products
A sequence {zn} in D = {z: |z| < 1} is a Blaschke sequence if and only ifIf 0 appears m times in {zn} thenis the Blaschke product defined by {zn}. The set of all Blaschke products
C. N. Linden
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Decomposing Blaschke Products And Polynomials
The goal of this paper is to contribute to the understanding of complex polynomials and Blaschke products, two very important function classes in mathematics.
Sokolowsky, Ben
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This paper studies the problem of approximating a Blaschke product by interpolating Blaschke products. We will solve the problem for some special classes of Blaschke products.
Li, Kin Y.
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On the generation of h∞ by blaschke products
碩士布拉施克積的有限多個線性組合在單位圓盤上是均勻稠密在有界的可解析函數代數上。The finite linear combinations of Blaschke products are uniformly dense in the algebra of bounded analytic functions on the open unit disc.目錄 0. 前言 ………………………………………………………P.1 1.
劉振宏; Liu, Chen-hung
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Applications of Blaschke Products to the Spectral Theory of Toeplitz Operators
The chapter is a survey of some applications of Blaschke products to the spectral theory of Toeplitz operators. Topics discussed include Toeplitz operators with bounded measurable symbols, factorisation with an infinite index, compositions with Blaschke ...
Eugene Shargorodsky +3 more
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On the Fourier Coefficients of Powers of a Finite Blaschke Product
International audienceAbstract Given a finite Blaschke product $B$ we prove asymptotically sharp estimates on the $\ell ^{\infty }$-norm of the sequence of the Fourier coefficients of $B^{n}$ as $n$ tends to $\infty $.
Borichev, Alexander +2 more
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