The unit ball
Polynomial approximation in Sobolev spaces on the unit sphere and the unit ball
... the unit sphere S d−1 = { x ∈ R d : ‖ x ‖ = 1} and the unit ball B d = { x ∈ R d : ‖ x ‖ ≤ 1} of R d , where ‖ x ‖ denotes the usual Euclidean norm, and used them to characterize the best ...
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Concentration of the distance between points in the unit ball
... However, our main result guarantees that in all normed spaces, the distance between "most" pairs of points in the unit ball is greater than ^2(1 - e).. We show, in fact, that for[r] ...
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The essential spectrum of Toeplitz operators on the unit ball
... the unit ball (which is quite frankly the topic of this paper) may replace any Ω by B n , ignore the specific notions for bounded symmetric domains and use the respective ...
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Higher genus capillary surfaces in the unit ball of R3
... The interest in capillary surfaces in the unit ball has been rekindled by the recent works of Fraser and Schoen [, ]. They considered free boundary minimal surfaces embedded in the unit ...
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Hadamard Gaps and Nk type Spaces in the Unit Ball
... M. A. Bakhit, A. E. Shammaky Department of Mathematics, Faculty of Science, Jazan University, Jazan, KSA Abstract In this paper, we introduce a class of holomorphic Banach spaces K of functions on the unit ...
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THE GENERALIZED CESÀRO OPERATOR ON THE UNIT BALL IN C n
... The aim of this note is to define a generalized Cesàro operator on the unit ball B � C n and to prove its boundedness on some spaces of analytic functions on B. The class of all analytic functions on B will ...
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Composition operators on the Bloch space of the unit ball of a Hilbert space
... BALL OF A HILBERT SPACE OSCAR BLASCO ∗ , PABLO GALINDO † , MIKAEL LINDSTR ¨ OM † , AND ALEJANDRO MIRALLES ‡ ...the unit ball of a Hilbert space induces a bounded composition operator on the space of ...
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Weak factorization and Hankel forms on weighted Bergman spaces in the unit ball
... the unit ball B n by using a weak factorization of H 1 ...the unit ball is the oppo- site to the one of Coifman, Rochberg and Weiss in ...
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Riemann Stieltjes operators from spaces to Bloch spaces on the unit ball
... [17] , Riemann-Stieltjes operators on weighted Bloch and Bergman spaces of the unit ball , Jour- nal of the London Mathematical Society.. Zhang, Multipliers on some holomorphic function [r] ...
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Carleson Measures and Toeplitz operators for weighted Bergman spaces on the unit ball
... In this paper we will give new characterizations for (λ, γ)-Bergman-Carleson measures and vanishing (λ, γ)-Bergman-Carleson measures (defined in Section 4) on the unit ball B n by using products of ...
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Spectrum of Compact Weighted Composition Operators on the Weighted Hardy Space in the Unit Ball
... the unit ball in the N-dimensional complex space, for ψ, a holomorphic func- tion in B N , and ϕ, a holomorphic map from B N into itself, the weighted composition op- erator on the weighted Hardy space H 2 ...
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Integral Type Operators from Spaces to Zygmund Type Spaces on the Unit Ball
... This along with Theorem 3.2 implies that T g {f : f Fp,q,s ≤ 1} is bounded. Taking the supremum over the unit ball in Fp, q, s, letting |z| → 1 in 3.46, using the condition B, and finally by applying Lemma ...
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General Toeplitz operators on weighted Bloch type spaces in the unit ball of Cn
... the unit ball of C n . Let B n be the unit ball of the n-dimensional complex Euclidean space C n ...the unit sphere in C n . Occasionally, we will also need the closed unit ...
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Properties of Weighted Composition Operators on Some Weighted Holomorphic Function Classes in the Unit Ball
... C n by the help of a non-decreasing function K : (0,∞) → [0,∞). Several important properties of these spaces in the unit ball are provided. The results are applied to characterize boundedness and ...
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On a new integral-type operator from the Bloch space to Bloch-type spaces on the unit ball
... [8] D. Clahane, S. Stevi ´c, Norm equivalence and composition operators between Bloch/Lipschitz spaces of the unit ball, J. Inequal. Appl. 2006 (2006), Article ID 61018, 11 pp. [9] C.C. Cowen, B.D. ...
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Construction of Polynomial Solutions to the Dirichlet Boundary Value Problem for the 3-Harmonic Equation in the Unit Ball
... ∆ = , where Q x ( ) is an arbitrary polynomial are constructed. On this base in [9] polynomial solution of the Dirichlet boundary value problem and a generalized third boundary value problem for the Poisson's equation ...
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On an integral operator on the unit ball in
... Stevo Stevi´c: Mathematical Institute of Serbian Academy of Sciences and Arts, Knez Mihailova 35/I, 11000 Beograd, Serbia. E-mail addresses : [email protected] ; [email protected].[r] ...
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Moduli of smoothness and approximation on the unit sphere and the unit ball
... Abstract A new modulus of smoothness based on the Euler angles is introduced on the unit sphere and is shown to satisfy all the usual characteristic properties of moduli of smoothness, i[r] ...
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On the dual space of a weighted Bergman space on the unit ball of Cn
... The Hackey topology of a non-locally convex topological vector space (X,x) is the unique locally convex topology m on X satisfying the follow- ing conditions:.. (I) m is weaker than x,S[r] ...
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Strongly exposed points in the unit ball of trace class operators
... the unit balls of symmetrically normed ideals (of operators) acting on a separable Hilbert space, and he obtained very useful and complete results in [2] on the extremal structure of these operator ...
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