Criterion for the Boundedness and Compactness of a Class of Sets in L[0,∞)


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Abstract

We obtain a criterion for the boundedness and compactness of a class of sets in the space L[0,∞).

About the authors

M. Otelbaev

Institute of Mathematics and Mathematical Modeling

Author for correspondence.
Email: otelbaevm@mail.ru
Kazakhstan, Almaty, 050010

Ya. T. Sultanaev

Lomonosov Moscow State University

Author for correspondence.
Email: sultanaevyt@gmail.com
Russian Federation, Moscow, 119991

D. S. Zhusupova

Gumilev Eurasian National University

Author for correspondence.
Email: zhus.dinara@yandex.kz
Kazakhstan, Nursultan, 010000

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