MARCINKIEWICZ’S INTERPOLATION THEOREM FOR LINEAR OPERATORS ON NET SPACES
Kalidolday A.H. Nursultanov E.D.
2022L.N. Gumilyov Eurasian National University
Eurasian Mathematical Journal
2022#13Issue 461 - 69 pp.
In this paper, we study the interpolation properties of the net spaces Np;q(M). We prove some analogue of Marcinkiewicz’s interpolation theorem. This theorem allows to obtain the strong boundedness of linear operators in the net spaces from the weak boundedness of these operators in the net spaces with local nets
Interpolation Spaces , Linear Operators , Net Spaces
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Department of Mathematics and Informatics, M.V.Lomonosov Moscow State University (Kazakhstan branch), 11 Kazhimukan St., Astana, 010010, Kazakhstan
Institute of Mathematics and Mathematical Modeling, 125 Pushkin St., Almaty, 050010, Kazakhstan
Department of Mathematics and Informatics
Institute of Mathematics and Mathematical Modeling
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