منابع مشابه
Uniform Densities of Regular Sequences in the Unit Disk
The upper and lower uniform densities of some regular sequences are computed. These densities are used to determine sets of sampling and interpolation for Bergman spaces of the unit disk. §
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Let n be a positive integer and λ > 0 a real number. Let Vn be a set of n points in the unit disk selected uniformly and independently at random. Define G(λ, n) to be the graph with vertex set Vn, in which two vertices are adjacent if and only if their Euclidean distance is at most λ. We call this graph a unit disk random graph. Let λ = c √ lnn/n and let X be the number of isolated points in G(...
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We provide some new sharp embeddings for p-Carleson measures and some related measures in the unit disk of the complex plane.
متن کاملNotes on functions on the unit disk
As usual, R denotes the real numbers, Z denotes the integers, and C denotes the complex numbers. Thus each α ∈ C can be expressed as a + b i, where a, b are real numbers and i = −1. We call a, b the real and imaginary parts of α, and denote them Reα, Imα, respectively. If z is a complex number, with z = x + y i where x, y are the real and imaginary parts of z, then we write z for the complex co...
متن کاملOn Uniformly Discrete Sequences in the Disk
We present an overview of uniformly discrete sequences and their relationship to other important types of sets, such as uniformly separated sequences, sets of interpolation and sampling, and zero-sets for Bergman spaces. Introduction A sequence Γ = {zk} in the unit disk D is said to be uniformly discrete if ρ(zj , zk) = ∣∣∣∣ zj − zk 1− zjzk ∣∣∣∣ ≥ δ for some fixed δ > 0 and all j 6= k. The supr...
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ژورنال
عنوان ژورنال: Michigan Mathematical Journal
سال: 1994
ISSN: 0026-2285
DOI: 10.1307/mmj/1029005005