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Schwarz–Pick Estimates of the Real Unit Ball for Harmonic Map**s
In this paper, Schwarz–Pick estimates are obtained for harmonic map**s from the unit ball of ℝ n into origin-symmetric bounded convex domains Ω ⊂ ℝ m ,...
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Complex Symmetric Composition Operators on the Hardy Space of the Unit Ball
In this paper, we introduce a new conjugation induced by a sequence of symmetric unitary n × n matrices on ℂ n . And we completely characterize the...
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Green’s Function of the Riquier–Neumann Problem for the Polyharmonic Equation in the Unit Ball
AbstractThe Green’s function of the Riquier–Neumann problem for the polyharmonic equation in the unit ball is constructed, and an integral...
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Weighted composition operators on spaces generated by fractional Cauchy kernels of the unit ball
In this paper, we characterize bounded and compact weighted composition operators acting from spaces generated by fractional Cauchy kernels of the...
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The Gleason’s problem on normal weight general function spaces in the unit ball of ℂn
In this paper, we first discuss the boundedness of certain integral operator T t on the normal weight general function space F ( p, μ, s ) in the unit...
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\(\mathcal {N}_p\) Spaces in the Unit Ball \(\mathbb {B}\)
The aim of this chapter is to characterize the \(\mathcal {N}_p\)...
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A Characterization of the Unit Ball by a Kähler–Einstein Potential
We will show that a universal covering of a compact Kähler manifold with ample canonical bundle is the unit ball if it admits a global potential...
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On the Areas of Genus Zero Free Boundary Minimal Surfaces Embedded in the Unit 3-Ball
We prove that the area of each nonflat genus zero free boundary minimal surface embedded in the unit 3-ball is less than the area of its radial...
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On extreme points and representer theorems for the Lipschitz unit ball on finite metric spaces
In this note, we provide a characterization for the set of extreme points of the Lipschitz unit ball in a specific vectorial setting. While the...
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Limit theory for the first layers of the random convex hull peeling in the unit ball
The convex hull peeling of a point set is obtained by taking the convex hull of the set and repeating iteratively the operation on the interior...
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Reducing Subspaces of Toeplitz Operators Induced by a Class of Non-analytic Monomials over the Unit Ball
In this paper, we describe the minimal reducing subspaces of Toeplitz operators induced by non-analytic monomials on the weighted Bergman spaces and...
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Random Interpolating Sequences in the Polydisc and the Unit Ball
We study almost surely separating and interpolating properties of random sequences in the polydisc and the unit ball. In the unit ball, we obtain the...