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ON THE COMPOSITION OF MUCKENHOUPT WEIGHTS AND INNER FUNCTIONS

Published online by Cambridge University Press:  01 August 1998

A. BÖTTCHER  and
S. GRUDSKY
A. BÖTTCHER
Affiliation:
Fakultät für Mathematik, Technische Universität Chemnitz, 09107 Chemnitz, Germany. E-mail: [email protected]
S. GRUDSKY
Affiliation:
Faculty of Mechanics and Mathematics, Rostov-on-Don State University, Ul. Bolshaya Sadovaya 105, 344711 Rostov-on-Don, Russia. E-mail: [email protected]
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Abstract

It is shown that the composition operator w[map ]w∘u generated by an inner function u is a self-map of the Muckenhoupt class A2, but that it need not preserve the Muckenhoupt classes Ap for p∈(1, 2)∪(2, ∞).

Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 58 , Issue 1 , August 1998 , pp. 172 - 184
Copyright
The London Mathematical Society 1998

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