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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive
Izv. Vyssh. Uchebn. Zaved. Mat., 2018 Number 11, Pages 82–85 (Mi ivm9415)
Brief communications

On continuity of functions with generalized derivatives

A. S. Romanovab

a Novosibirsk State University
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, 4 Acad. Koptyug Ave., Novosibirsk, 630090 Russia

Abstract: We study the question of the continuity of functions for which the generalized gradient belongs to the Lorentz spaces.

Keywords: Sobolev space, Lorentz space, absolute continuity.

UDC: 517.51

Received: 07.05.2018


 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2018, 62:11, 72–75

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© Steklov Math. Inst. of RAS, 2026