The Calderón’s Construction for Pairs of Grand and Small Lebesque Spaces
Berezhnoi E.I.
December 2024Pleiades Publishing
Lobachevskii Journal of Mathematics
2024#45Issue 126060 - 6082 pp.
Abstract: We find conditions under which the Calderón construction for a pair of Grand or Small Lebesque spaces is also Grand or Small Lebesque spaces. Based on the well-known reduction, the calculation of the Calderón construction for pairs of Grand and Small Lebesque spaces allowed us to describe the spaces of the complex interpolation method for these pairs of spaces and to obtain new interpolation theorems for Grand and Small Lebesque spaces.
Banach ideal space and symmetrical spaces , Calderón construction , Grand Lebesque spaces , Small Lebesque spaces
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Department of Mathematics, Yaroslavl State University, Yaroslavl, 150000, Russian Federation
Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
Regional Mathematical Center of Southern Federal University, 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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