Results 1 to 10 of about 886,896 (272)
Global Rigidity of Unit Ball Graphs [PDF]
SIAM Journal on Discrete Mathematics, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Garamvölgyi, Dániel, Jordán, Tibor
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Extreme points of ${\mathcal L}_s(^2l_{\infty})$ and ${\mathcal P}(^2l_{\infty})$
Karpatsʹkì Matematičnì Publìkacìï, 2021 For $n\geq 2,$ we show that every extreme point of the unit ball of ${\mathcal L}_s(^2l_{\infty}^n)$ is extreme in ${\mathcal L}_s(^2l_{\infty}^{n+1})$, which answers the question in [Period. Math. Hungar. 2018, 77 (2), 274-290].
Sung Guen Kim
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Bergman and Dirichlet spaces in the unit ball and symmetric lifting operator [PDF]
AUT Journal of Mathematics and Computing, 2023 Let $\mathbb{B}_n$ be the open unit ball in $\mathbb{C}^n$ and $\mathbb{B}_n^2 = \mathbb{B}_n \times \mathbb{B}_n$. The symmetric lifting operator which lifts analytic functions from $H(\mathbb{B}_n)$ to $H(\mathbb{B}_n^2)$ is defined as follow\[L(f)(z,w)
Mostafa Hassanlou, Ebrahim Abbasi
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Hilbert Metric in the Unit Ball
Studia Scientiarum Mathematicarum Hungarica, 2023 The Hilbert metric between two points 𝑥, 𝑦 in a bounded convex domain 𝐺 is defined as the logarithm of the cross-ratio 𝑥, 𝑦 and the intersection points of the Euclidean line passing through the points 𝑥, 𝑦 and the boundary of the domain. Here, we study this metric in the case of the unit ball 𝔹𝑛.
Oona Rainio, Matti Vuorinen
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Unit Ball Graphs on Geodesic Spaces [PDF]
Graphs and Combinatorics, 2020 Consider finitely many points in a geodesic space. If the distance of two points is less than a fixed threshold, then we regard these two points as "near". Connecting near points with edges, we obtain a simple graph on the points, which is called a unit ball graph. If the space is the real line, then it is known as a unit interval graph.
Masamichi Kuroda, Shuhei Tsujie
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Unit lemniscates contained in the unit ball [PDF]
Proceedings of the American Mathematical Society, 1982 Let { A 1 , A 2 , … , A ν } ≡ A \{ {A_1},{A_2}, \ldots ,{A_\nu }\} \equiv A be a set of points in E
Shih, Mau-Hsiang, Wang, Hann-Tzong
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ON SOME SHARP THEOREMS ON DISTANCE FUNCTION IN HARDY TYPE, BERGMAN TYPE AND HERZ TYPE ANALYTIC CLASSES [PDF]
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2017 We present some new sharp estimates concerning distance function in some new mixed norm and Lizorkin-Triebel type spaces in the unit ball.This leads at the same time to direct generalizations of our recent results on extremal problems in such Bergman ...
R. F. Shamoyan, S.P. Maksakov
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Axioms, 2023 The boundedness of a sum-type operator between weighted-type spaces is characterized and its essential norm is estimated.
Stevo Stević, Sei-Ichiro Ueki
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Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2021 This paper contains an overview of recent results of Area-Nevanlinna classes in higher dimension. We here consider various aspects of this new interesting research area of analytic function theory in higher dimension (integral operations, embedding ...
Shamoyan, R.F.
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Slice Holomorphic Functions in the Unit Ball Having a Bounded L-Index in Direction
Axioms, 2020 Let b∈Cn\{0} be a fixed direction. We consider slice holomorphic functions of several complex variables in the unit ball, i.e., we study functions that are analytic in the intersection of every slice {z0+tb:t∈C} with the unit ball Bn={z∈C:|z|:=|z|12 ...
Andriy Bandura +2 more
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