Geodesic
Marcinkiewicz's interpolation theorem for linear operators on net spaces
Eurasian mathematical journal, Tome 13 (2022) no. 4, pp. 61-69

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In this paper, we study the interpolation properties of the net spaces $N_{p,q}(M)$. 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. 
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     author = {A. K. Kalidolday and E. D. Nursultanov},
     title = {Marcinkiewicz's interpolation theorem for linear operators on net spaces},
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A. K. Kalidolday; E. D. Nursultanov. Marcinkiewicz's interpolation theorem for linear operators on net spaces. Eurasian mathematical journal, Tome 13 (2022) no. 4, pp. 61-69. http://geodesic.mathdoc.fr/item/EMJ_2022_13_4_a4/