Geodesic
On some embedding theorems for ideal structures
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 73 (2021), pp. 30-41

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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. 
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     author = {E. A. Pavlov and A. I. Furmenko},
     title = {On some embedding theorems for ideal structures},
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E. A. Pavlov; A. I. Furmenko. On some embedding theorems for ideal structures. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 73 (2021), pp. 30-41. http://geodesic.mathdoc.fr/item/VTGU_2021_73_a2/