Multipliers for Pairs of Grand or Small Lebesque Spaces in Limiting Cases (p=1 or p=∞)
Berezhnoi E.I.
April 2025Birkhauser
Complex Analysis and Operator Theory
2025#19Issue 3
We give an exact description of the multiplier space between a couple of Grand Lebesque spaces for indices taking limit values (p=1 or p=∞). 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.
Banach ideal space , Grand Lebesque spaces , Multiplier space , Pointwise multipliers , Small Lebesque spaces
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Department of Mathematics, Yaroslavl State University, 14, Sovetskaya St., Yaroslavl, 150000, Russian Federation
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Regional Mathematical Center of Southern Federal University, 105/42 Bolshaya Sadovaya, Rostov-on-Don, 344090, Russian Federation
Department of Mathematics
Institute of Mathematics and Mathematical Modeling
Regional Mathematical Center of Southern Federal University
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