منابع مشابه
Gaussian integer points of analytic functions in a half - plane
A classical result of Pólya states that 2 is the slowest growing transcendental entire function taking integer values on the non-negative integers. Langley generalised this result to show that 2 is the slowest growing transcendental function in the closed right halfplane Ω = {z ∈ C : <(z) ≥ 0} taking integer values on the non-negative integers. Let E be a subset of the Gaussian integers in the ...
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In this paper, we intend to define and study concepts of weight and weighted spaces of holomorphic (analytic) functions on the upper half plane. We study two special classes of these spaces of holomorphic functions on the upper half plane. Firstly, we prove these spaces of holomorphic functions on the upper half plane endowed with weighted norm supremum are Banach spaces. Then, we investigate t...
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In this paper, we obtain a sucient condition for boundedness of composition operators betweenweighted spaces of holomorphic functions on the upper half-plane whenever our weights are standardanalytic weights, but they don't necessarily satisfy any growth condition.
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Let Π = {z ∈ C : Imz > 0} be the upper half-plane in the complex plane. This paper characterizes the bounded products of differentiation operator and composition operator acting from the weighted Bergman space Aα(Π) to the weighted-type space A∞(Π) and the Bloch-type space B∞(Π). Mathematics Subject Classification: Primary 47B38; Secondary 47B33, 47B37
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1956
ISSN: 0002-9947
DOI: 10.2307/1992858