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Absolute continuity of the Sobolev type functions on metric spaces

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Abstract

Under study is the absolute continuity of the functions satisfying the Poincaré inequality on s-regular metric spaces.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Novosibirsk, Russia

    A. S. Romanov

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  1. A. S. Romanov
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Correspondence to A. S. Romanov.

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Original Russian Text Copyright © 2008 Romanov A. S.

The author was partially supported by the Russian Foundation for Basic Research (Grant 08-01-00531-a), the State Maintenance Program for the Leading Scientific Schools of the Russian Federation (Grant NSh-5682.2008.1), and the Interdisciplinary Integration Project of the Siberian Division of the Russian Academy of Sciences (Grant No. 117; 2006).

In Memory of S. L. Sobolev.

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Novosibirsk. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 49, No. 5, pp. 1147–1156, September–October, 2008.

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Romanov, A.S. Absolute continuity of the Sobolev type functions on metric spaces. Sib Math J 49, 911–918 (2008). https://doi.org/10.1007/s11202-008-0089-6

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  • DOI: https://doi.org/10.1007/s11202-008-0089-6

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