Results 31 to 40 of about 82,654 (305)
Global Rigidity of Unit Ball Graphs [PDF]
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Dániel Garamvölgyi, Tibor Jordán
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Riquier–Neumann Problem for the Polyharmonic Equation in a Ball
The Green’s function of the Riquier–Neumann problem for the polyharmonic equation in the unit ball is constructed. Using the obtained Green’s function, an integral representation of the solution to the Riquier–Neumann problem in the unit ball is found.
Valery Karachik
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On new sharp theorems for multifunctional BMOA type spaces in bounded pseudoconvex domains
We provide new equivalent expressions in the unit ball and pseudoconvex domains for multifunctional analytic BMOA type space. We extend in various directions a known theorem of atomic decomposition of BMOA type spaces in the unit ball.
Shamoyan, R.F., Tomashevskaya, E.B.
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Analytic vector-functions in the unit ball having bounded $\mathbf{L}$-index in joint variables
In this paper, we consider a class of vector-functions, which are analytic in the unit ball. For this class of functions there is introduced a concept of boundedness of $\mathbf{L}$-index in joint variables, where $\mathbf{L}=(l_1,l_2): \mathbb{B}^2\to ...
V.P. Baksa
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A Pair in a Crowd of Unit Balls
Let \({\mathcal F}\) be a family of mutually nonoverlapping unit balls in the \(n\)-dimensional Euclidean space \(\mathbb{R}^n\). The distance between the centers of \(A,B\in{\mathcal F}\) is denoted by \(d(A,B)\). It is proved, among others, that if \(d(A,B)< 4\) and \(n\geq 5\), then \(A\) and \(B\) are always visible from each other, that is a light
Kiyoshi Hosono +2 more
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Existencia de Soluciones Radiales para Problemas Semilineales Elípticos Indefinidos
We study the existence of radial solutions of indefinite semilinear elliptic equations in the unit ball in Rn (n>=3) with Dirichlet boundary conditions, whose nonlinear term has the form lamda.m(|x|)f(u) where m(|.|) is radially symmetric, discontinuous ...
Marco Calahorrano, Israel Cevallos
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Approximation in the Closed Unit Ball [PDF]
In this expository article, we present a number of classic theorems that serve to identify the closure in the sup-norm of various sets of Blaschke products, inner functions and their quotients, as well as the closure of the convex hulls of these sets. The results presented include theorems of Carathéodory, Fisher, Helson-Sarason, Frostman, Adamjan-Arov-
Mashreghi, Javad, Ransford, Thomas
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Evaluating polynomials over the unit disk and the unit ball [PDF]
19 pages, 3 ...
Kendall E. Atkinson +2 more
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Holomorphic Bloch spaces on the unit ball in $C^n$ [PDF]
summary:This work is an introduction to anisotropic spaces of holomorphic functions, which have $\omega$-weight and are generalizations of Bloch spaces on a unit ball.
Lusky, W., Harutyunyan, A. V.
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A characterization of the weak topology in the unit ball of purely atomic L1 preduals [PDF]
We study Banach spaces with a weak stable unit ball, that is Banach spaces where every convex combination of relatively weakly open subsets in its unit ball is again a relatively weakly open subset in its unit ball.
López Pérez, Ginés +1 more
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