On isolated singularities of mappings with finite length distortion

Gutlyanskii, V. Ya., Ryazanov, Vladimir, Salimov, R., Sevost’yanov, Е. А. (2023) On isolated singularities of mappings with finite length distortion. Journal of Mathematical Sciences, 276 (5). pp. 652-669. ISSN 1072-3374

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Abstract

Here we give a survey of various integral criteria in terms of inner dilatations KI for the removability of isolated singularities of mappings with finite length distortion in ℝn, n ≥ 2, that are a natural extension of the well-known Martio–Väisäłä mappings with bounded length distortion. In particular, the survey includes many effective integral criteria of the types of BMO, bounded mean oscillation by John–Nirenberg, FMO, finite mean oscillation, Calderon–Zygmund, Lehto, and Orlicz.

Item Type:	Article
Subjects:	Q Science > QA Mathematics > Mathematical Analysis
Depositing User:	Євген Севостьянов
Date Deposited:	09 Jun 2024 12:55
Last Modified:	09 Jun 2024 12:55
URI:	http://eprints.zu.edu.ua/id/eprint/39962

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