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The Weighted BMO Condition and a Constructive Description of Classes of Analytic Functions Satisfying this Condition
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L. Chikvinidze
Published/Copyright:
February 23, 2010
Abstract
The problem of local polynomial approximation of analytic functions prescribed in finite domains with a quasiconformal boundary is investigated in weighted plane integral metrics; a constructive description of the class of analytic functions satisfying a weak version of the known BMO condition is obtained.
Key words and phrases.: Domain with quasiconformal boundary; weighted local polynomial approximation; weak versions of the Muckenhoupt and the BMO conditions
Received: 1994-09-21
Published Online: 2010-02-23
Published in Print: 1996-June
© 1996 Plenum Publishing Corporation
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- The Weighted BMO Condition and a Constructive Description of Classes of Analytic Functions Satisfying this Condition
- Some Partitions Consisting of Jordan Curves
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Keywords for this article
Domain with quasiconformal boundary;
weighted local polynomial approximation;
weak versions of the Muckenhoupt and the BMO conditions
Articles in the same Issue
- Equilibrium for Perturbations of Multifunctions by Convex Processes
- The Weighted BMO Condition and a Constructive Description of Classes of Analytic Functions Satisfying this Condition
- Some Partitions Consisting of Jordan Curves
- Two-Dimensional Steady-State Oscillation Problems of Anisotropic Elasticity
- On Krull Dimension of Ore Extensions
- Almost Periodic Harmonizable Processes
- Semidirect Products and Wreath Products of Strongly π-Inverse Monoids