Results 21 to 30 of about 82,654 (305)

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
openaire   +2 more sources

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
doaj   +1 more source

Boundedness and Essential Norm of an Operator between Weighted-Type Spaces of Holomorphic Functions on a Unit Ball

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
doaj   +1 more source

Spectral Approximation on the Unit Ball [PDF]

SIAM Journal on Numerical Analysis, 2014
Spectral approximation by polynomials on the unit ball is studied in the frame of the Sobolev spaces $W^{s}_p(\ball ...
Huiyuan Li, Yuan Xu
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Integral operators, embedding theorems, Taylor coefficients, isometries, boundary behaviour of Area-Nevanlinna type spaces in higher dimension and related problems

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.
doaj   +1 more source

Mixed orthogonality on the unit ball

Computational and Applied Mathematics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cleonice F. Bracciali, Teresa E. Pérez
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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
doaj   +1 more source

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
openaire   +2 more sources

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, Maria Martsinkiv, Oleh Skaskiv   +2 more
doaj   +1 more source

Contribution of Limb Muscle Power, Flexibility of Limb Muscles and Self-Confidence to the Accuracy of Futsal Shooting

Juara, 2023
The objectives of this study are 1) To analyze the contribution of limb muscle power to the accuracy of ball shooting in the women's futsal student activity unit in Semarang 2) To analyze the contribution of limb muscle flexibility to the accuracy of ...
Anny Nur Hidayati, Sulaiman Sulaiman, Mugiyo Hartono   +2 more
doaj   +1 more source