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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 1970 Volume 7, Issue 6, Pages 733–741 (Mi mzm9559)

Criterion for the compactness of a class of functions of $W_m^l$ ($1<ml\leqslant n$)

S. F. Morozov, V. I. Sumin

N. I. Lobachevskii Gorki State University

Abstract: A criterion is established for the compactness of a class of functions $u(x)\in W_m^l(\Omega)$ ($1<ml\leqslant n$) generalizing Morrey's criterion.

UDC: 517.5

Received: 17.03.1969


 English version:
Mathematical Notes, 1970, 7:6, 441–445

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© Steklov Math. Inst. of RAS, 2024