Multipliers for the Calderón–Lozanovskii Construction
Berezhnoi E.I.
February 2025Pleiades Publishing
Mathematical Notes
2025#117Issue 1195 - 207 pp.
Using a new approach for the Calderón–Lozanovskii construction involving an arbitrary ideal space, a Lebesgue space, and a concave function, an exact description of the multiplier space is given, provided that the ratio does not increase. Namely, it is shown that the equality (Formula presented.) is satisfied, where the function is determined constructively from the functions. The absence of restrictions on the ideal space and the exact description of the function enables us to apply the results thus obtained to a wide class of ideal spaces that are not symmetric and cannot be reduced to symmetric ones by an introduction of weight functions, for example, Morrey spaces.
Calderón–Lozanovskii construction , ideal Banach space , multiplier
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P. G. Demidov Yaroslavl State University, Yaroslavl, 150000, Russian Federation
Regional mathematical center of Southern Federal University, Rostov-on-Don, 344006, Russian Federation
Institute of Mathematics and Mathematical Modeling, Ministry of Education and Science, Almaty, 050010, Kazakhstan
P. G. Demidov Yaroslavl State University
Regional mathematical center of Southern Federal University
Institute of Mathematics and Mathematical Modeling
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