Geodesic
Lower semicontinuity of distortion coefficients for homeomorphisms of bounded $(1, \sigma)$-weighted $(q,p)$-distortion on Carnot groups
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2024), pp. 84-90 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper we study the locally uniform convergence of homeomorphisms with bounded $(1,\sigma)$-weighted $(q,p)$-distortion to a limit homeomorphism. Under some additional conditions we prove that the limit homeomorphism is a mapping with bounded $(1,\sigma)$-weighted $(q,p)$-distortion. Moreover, we obtain the property of lower semicontinuity of distortion characteristics of homeomorphisms.
Keywords: semicontinuity from below, homeomorphism with bounded $(1,\sigma)$-weighted $(q,p)$-distortion
Mots-clés : Carnot group. 
@article{IVM_2024_3_a6,
     author = {S. K. Vodopyanov and D. A. Sboev},
     title = {Lower semicontinuity of distortion coefficients for homeomorphisms of bounded $(1, \sigma)$-weighted $(q,p)$-distortion on {Carnot} groups},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {84--90},
     year = {2024},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2024_3_a6/}
}
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S. K. Vodopyanov; D. A. Sboev. Lower semicontinuity of distortion coefficients for homeomorphisms of bounded $(1, \sigma)$-weighted $(q,p)$-distortion on Carnot groups. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2024), pp. 84-90. http://geodesic.mathdoc.fr/item/IVM_2024_3_a6/

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