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  1. Acta Mathematica Sinica, English Series
  2. Acta Mathematica Sinica, English Series : Volume 25
  3. Acta Mathematica Sinica, English Series : Volume 25, Issue 7, July 2009
  4. On pointwise bounded approximation
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Acta Mathematica Sinica, English Series : Volume 32
Acta Mathematica Sinica, English Series : Volume 31
Acta Mathematica Sinica, English Series : Volume 30
Acta Mathematica Sinica, English Series : Volume 29
Acta Mathematica Sinica, English Series : Volume 28
Acta Mathematica Sinica, English Series : Volume 27
Acta Mathematica Sinica, English Series : Volume 26
Acta Mathematica Sinica, English Series : Volume 25
Acta Mathematica Sinica, English Series : Volume 25, Issue 12, December 2009
Acta Mathematica Sinica, English Series : Volume 25, Issue 11, November 2009
Acta Mathematica Sinica, English Series : Volume 25, Issue 10, October 2009
Acta Mathematica Sinica, English Series : Volume 25, Issue 9, September 2009
Acta Mathematica Sinica, English Series : Volume 25, Issue 8, August 2009
Acta Mathematica Sinica, English Series : Volume 25, Issue 7, July 2009
Hyperbolic conservation laws on manifolds. An error estimate for finite volume schemes
On heat kernel estimates and parabolic Harnack inequality for jump processes on metric measure spaces
Harmonic moments of branching processes in random environments
Finite groups with its power automorphism groups having small indices
Every weakly compact set can be uniformly embedded into a reflexive Banach space
Portfolio optimization under entropic risk management
Isometric isomorphisms in proper CQ*-algebras
On extension of isometries between the unit spheres of normed space E and l p (p > 1)
Hua’s theorem with s almost equal prime variables
Large deviation for stochastic Cahn-Hilliard partial differential equations
On multifractal of Cantor dust
Prinjective Ringel-Hall algebras for posets of finite prinjective type
On permutation polynomials in two variables over ℤ/p 2ℤ
Zero-sum stochastic games with average payoffs: New optimality conditions
On pointwise bounded approximation
Acta Mathematica Sinica, English Series : Volume 25, Issue 6, June 2009
Acta Mathematica Sinica, English Series : Volume 25, Issue 5, May 2009
Acta Mathematica Sinica, English Series : Volume 25, Issue 4, April 2009
Acta Mathematica Sinica, English Series : Volume 25, Issue 3, March 2009
Acta Mathematica Sinica, English Series : Volume 25, Issue 2, February 2009
Acta Mathematica Sinica, English Series : Volume 25, Issue 1, January 2009
Acta Mathematica Sinica, English Series : Volume 24
Acta Mathematica Sinica, English Series : Volume 23
Acta Mathematica Sinica, English Series : Volume 22
Acta Mathematica Sinica, English Series : Volume 21
Acta Mathematica Sinica, English Series : Volume 20
Acta Mathematica Sinica, English Series : Volume 19
Acta Mathematica Sinica, English Series : Volume 18
Acta Mathematica Sinica, English Series : Volume 17
Acta Mathematica Sinica, English Series : Volume 16
Acta Mathematica Sinica, English Series : Volume 15
Acta Mathematica Sinica, English Series : Volume 14
Acta Mathematica Sinica, English Series : Volume 13

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On pointwise bounded approximation

Content Provider SpringerLink
Author Qiu, Zhijian
Copyright Year 2009
Abstract Let G be an open subset in the extended complex plane and let A(G) denote the algebra of all functions analytic on G and continuous on $$ \bar G $$ . We call a domain multi-nicely connected if there is a circular domain W and a conformal map ϕ from W onto G such that the boundary value function of ϕ is univalent almost everywhere with respect to the arclength on ∂W.Suppose that every component of G is finitely connected and none of the components of G have single point boundary components. We show that for every bounded analytic function on G to be the pointwise limit of a bounded sequence of functions in A(G), it is necessary and sufficient that each component of G is multi-nicely connected and the harmonic measures of G are mutually singular. This generalizes the corresponding result of Davie for the case when the components of G are simply connected.
Ending Page 1222
Page Count 6
Starting Page 1217
File Format PDF
ISSN 14398516
e-ISSN 14397617
Journal Acta Mathematica Sinica, English Series
Issue Number 7
Volume Number 25
Language English
Publisher Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Publisher Date 2009-06-15
Publisher Place Heidelberg
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Banach spaces of continuous, differentiable or analytic functions harmonic measure Dirichlet algebra Subnormal operators, hyponormal operators, etc. pointwise approximation Bounded analytic functions Mathematics Approximation in the complex domain
Content Type Text
Resource Type Article
Subject Applied Mathematics
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