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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 37, Pages 2345-2347
doi:10.1155/S0161171203203045

The conjugation operator on Aq(G)

Sanjiv Kumar Gupta

Department of Mathematics and Statistics, College of Science, Sultan Qaboos University, P.O. Box 36, Al-Khaud 123, Oman

Abstract

Let q>2. We prove that the conjugation operator H does not extend to a bounded operator on the space of integrable functions defined on any compact abelian group with the Fourier transform in lq.