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Sibirskii Matematicheskii Zhurnal, 1977, Volume 18, Number 1, Pages 48–68 (Mi smj6174)  

This article is cited in 28 scientific papers (total in 28 papers)

A test of the removability of sets for L1p spaces of quasiconformal and quasi-isomorphic mappings

S. K. Vodopyanov, V. M. Gol'dstein
Received: 15.10.1975
English version:
Siberian Mathematical Journal, 1977, Volume 18, Issue 1, Pages 35–50
DOI: https://doi.org/10.1007/BF00966948
Bibliographic databases:
Document Type: Article
UDC: 517.554+517.511
Language: Russian
Citation: S. K. Vodopyanov, V. M. Gol'dstein, “A test of the removability of sets for L1p spaces of quasiconformal and quasi-isomorphic mappings”, Sibirsk. Mat. Zh., 18:1 (1977), 48–68; Siberian Math. J., 18:1 (1977), 35–50
Citation in format AMSBIB
\Bibitem{VodGol77}
\by S.~K.~Vodopyanov, V.~M.~Gol'dstein
\paper A test of the removability of sets for $L_p^1$ spaces of quasiconformal and quasi-isomorphic mappings
\jour Sibirsk. Mat. Zh.
\yr 1977
\vol 18
\issue 1
\pages 48--68
\mathnet{http://mi.mathnet.ru/smj6174}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=0450553}
\zmath{https://zbmath.org/?q=an:0349.46031}
\transl
\jour Siberian Math. J.
\yr 1977
\vol 18
\issue 1
\pages 35--50
\crossref{https://doi.org/10.1007/BF00966948}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=WOS:A1977EB79700005}
Linking options:
  • https://www.mathnet.ru/eng/smj6174
  • https://www.mathnet.ru/eng/smj/v18/i1/p48
  • This publication is cited in the following 28 articles:
    1. Dimitrios Ntalampekos, “CNED sets: countably negligible for extremal distances”, Sel. Math. New Ser., 30:4 (2024)  crossref
    2. Dimitrios Ntalampekos, “Metric definition of quasiconformality and exceptional sets”, Math. Ann., 2023  crossref
    3. V. A. Shlyk, “Removable sets for Sobolev spaces with Muckenhoupt $A_1$-weight”, Sib. elektron. matem. izv., 18:1 (2021), 136–159  mathnet  crossref
    4. A. S. Romanov, “On the isomorphism of Sobolev-type classes on metric spaces”, Siberian Math. J., 62:4 (2021), 707–718  mathnet  crossref  crossref  isi  elib
    5. I. M. Tarasova, V. A. Shlyk, “Weighted Sobolev spaces, capacities and exceptional sets”, Sib. elektron. matem. izv., 17 (2020), 1552–1570  mathnet  crossref
    6. S. K. Vodopyanov, “Admissible changes of variables for Sobolev functions on (sub-)Riemannian manifolds”, Sb. Math., 210:1 (2019), 59–104  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    7. S. K. Vodopyanov, “Isomorphisms of Sobolev spaces on Riemannian manifolds and quasiconformal mappings”, Siberian Math. J., 60:5 (2019), 774–804  mathnet  crossref  crossref  isi  elib
    8. V. A. Shlyk, “Criteria of removable sets for harmonic functions in the Sobolev spaces $\mathbf{L^1_{p,w}}$”, Mathematical Physics and Computer Simulation, 22:2 (2019), 51–64  mathnet  mathnet  crossref
    9. A. S. Romanov, “Ob ekvivalentnosti oblastei v teorii prostranstv Soboleva s peremennymi pokazatelyami summiruemosti”, Sib. elektron. matem. izv., 15 (2018), 1024–1039  mathnet  crossref
    10. V. Gol'dshtein, A. Ukhlov, “The spectral estimates for the Neumann–Laplace operator in space domains”, Advances in Mathematics, 315 (2017), 166  crossref
    11. S. K. Vodopyanov, “On admissible changes of variables for Sobolev functions on (sub)Riemannian manifolds”, Dokl. Math., 93:3 (2016), 318  crossref
    12. S. K. Vodop'yanov, N. A. Evseev, “Isomorphisms of Sobolev spaces on Carnot groups and quasiconformal mappings”, Siberian Math. J., 56:5 (2015), 789–821  mathnet  crossref  crossref  isi  elib  elib
    13. S. K. Vodop'yanov, N. A. Evseev, “Isomorphisms of sobolev spaces on carnot groups and metric properties of mappings”, Dokl. Math., 92:2 (2015), 532  crossref
    14. S. K. Vodop'yanov, N. A. Evseev, “Isomorphisms of Sobolev spaces on Carnot groups and quasi-isometric mappings”, Siberian Math. J., 55:5 (2014), 817–848  mathnet  crossref  mathscinet  isi
    15. A. A. Egorov, “Solutions of the differential inequality with a null Lagrangian: higher integrability and removability of singularities. II”, Vladikavk. matem. zhurn., 16:4 (2014), 41–48  mathnet
    16. V. A. Shlyk, “O vesovoi ekvivalentnosti otkrytykh mnozhestv v $R^n$”, Vestn. Volgogr. gos. un-ta. Ser. 1, Mat. Fiz., 2014, no. 4(23), 47–52  mathnet
    17. V. A. Shlyk, “The spherical symmetrization and NED-sets on a hyperplane”, J. Math. Sci. (N. Y.), 193:1 (2013), 145–150  mathnet  crossref  mathscinet
    18. F. I. Ivanov, V. A. Shlyk, “Null-sets for the extremal lengths”, J. Math. Sci. (N. Y.), 178:2 (2011), 163–169  mathnet  crossref
    19. Yu. V. Dymchenko, V. A. Shlyk, “Sufficiency of broken lines in the modulus method and removable sets”, Siberian Math. J., 51:6 (2010), 1028–1042  mathnet  crossref  mathscinet  isi
    20. V. V. Aseev, “Ned sets on a hyperplane”, Siberian Math. J., 50:5 (2009), 760–775  mathnet  crossref  mathscinet  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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