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A multiplier inclusion theorem on product domains
- Part of
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- Journal:
- Proceedings of the Edinburgh Mathematical Society / Volume 62 / Issue 4 / November 2019
- Published online by Cambridge University Press:
- 20 June 2019, pp. 1073-1088
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- Article
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In this note it is shown that the class of all multipliers from the d-parameter Hardy space
$H_{{\rm prod}}^1 ({\open T}^d)$ to L2 (𝕋d) is properly contained in the class of all multipliers from L logd/2L (𝕋d) to L2(𝕋d).
