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Trigonometric Multipliers on H2π
Published online by Cambridge University Press: 20 November 2018
Abstract
In this paper we consider multipliers on the real Hardy space ${{H}_{2\pi }}$. It is known that the Marcinkiewicz and the Hörmander–Mihlin conditions are sufficient for the corresponding trigonometric multiplier to be bounded on
$L_{2\pi }^{p},1<p<\infty$. We show among others that the Hörmander– Mihlin condition extends to
${{H}_{2\pi }}$ but the Marcinkiewicz condition does not.
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- Copyright © Canadian Mathematical Society 2005
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