Multipliers for Pairs of Grand or Small Lebesque Spaces in Limiting Cases ($p=1$ or $p=\infty $)

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2025年4月2日

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Evgenii I. Berezhnoi

摘要

We give an exact description of the multiplier space between a couple of Grand Lebesque spaces for indices taking limit values ( $p=1$ $p = 1$ or $p=\infty $ $p = \infty$ ). It is shown that in this case the multiplier space for a couple of Grand Lebesque spaces is a Grand Lebesque space or a the Marcinkiewicz weight space structurally constructed from the original spaces. A similar result is true for couples Small Lebesque spaces.

Multipliers for Pairs of Grand or Small Lebesque Spaces in Limiting Cases (\(p=1\) or \(p=\infty \))

摘要