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MATHEMATICS
On some embedding theorems for ideal structures
E. A. Pavlova, A. I. Furmenkob a Department of Mathematics, The Crimean State
Engineering Pedagogical University, Simferopol, Russian Federation
b Department of Mathematics, «N.E.
Zhukovskiy and Yu.A. Gagarin Air Force Academy", Voronezh, Russian Federation
Abstract:
The appearance of the first embedding theorems, as well as the term “embedding” itself, is associated with the name of Academician S. L. Sobolev. The further development of the theory of embedding of spaces proceeded in two directions: 1) embedding theorems for differentiable functions; 2) embedding theorems for spaces of measurable functions. The authors obtained embedding theorems for symmetric and more general ideal spaces of measurable, in the sense of Lebesgue, functions.
Keywords:
embedding theorems, symmetric spaces, ideal structures, extension operator.
Received: 22.06.2021
Citation:
E. A. Pavlov, A. I. Furmenko, “On some embedding theorems for ideal structures”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2021, no. 73, 30–41
Linking options:
https://www.mathnet.ru/eng/vtgu872 https://www.mathnet.ru/eng/vtgu/y2021/i73/p30
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