Multipliers for Pairs of Grand and Small Lebesgue Space for p∈(1,∞)
Berezhnoi E.I.
October 2025Springer
Potential Analysis
2025#63Issue 31235 - 1252 pp.
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.
Banach ideal space , Grand Lebesgue spaces , Multiplier space , Pointwise multipliers , Small Lebesgue spaces
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Department of Mathematics, Yaroslavl State University, 14, Sovetskaya St., Yaroslavl, 150 000, Russian Federation
Regional Mathematical Center of Southern Federal University, 105/42 Bolshaya Sadovaya, Rostov-on-Don, 344090, Russian Federation
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Department of Mathematics
Regional Mathematical Center of Southern Federal University
Institute of Mathematics and Mathematical Modeling
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