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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 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
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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.
Funding agency Grant number
Russian Science Foundation 16-41-02004
Received: 07.05.2018
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2018, Volume 62, Issue 11, Pages 72–75
DOI: https://doi.org/10.3103/S1066369X18110087
Bibliographic databases:
Document Type: Article
UDC: 517.51
Language: Russian
Citation: A. S. Romanov, “On continuity of functions with generalized derivatives”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 11, 82–85; Russian Math. (Iz. VUZ), 62:11 (2018), 72–75
Citation in format AMSBIB
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