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<p>For a wide class of grand Lebesgue spaces, we give an exact description of the multiplier space between a couple of grand Lebesgue spaces from this class. It is shown that in this case the multiplier space for a couple of grand Lebesgue spaces is a grand Lebesgue space structurally constructed from the original spaces. A similar result is true for couples of small Lebesgue spaces.</p>

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Multipliers for Pairs of Grand and Small Lebesgue Space for \(p \in (1, \infty )\)

  • 期刊论文

  • 发表日期：

    2025年2月25日

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  • Evgenii I. Berezhnoi

摘要

For a wide class of grand Lebesgue spaces, we give an exact description of the multiplier space between a couple of grand Lebesgue spaces from this class. It is shown that in this case the multiplier space for a couple of grand Lebesgue spaces is a grand Lebesgue space structurally constructed from the original spaces. A similar result is true for couples of small Lebesgue spaces.