Moduli in Modern Mapping Theory
By O. Martio, V. Ryazanov, U. Srebro, E. Yakubov. 2008
419 citations recorded by the source corpus.
Subfields: Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/ca42c26e7788dbd8e452afaa414d61387484dd36
How researchers see this paper
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In Geometry and Topology
- V. Ryazanov
- E. Yakubov
- E. Sevost’yanov
- U. Srebro
- D. Kovtonyuk
- V. Gutlyanskiĭ
- Ruslan Salimov
- M. Cristea
Citations in the corpus
- On integral conditions in the mapping theory (2010, positive): “Moreover, the above results will have significant corollaries to the local and boundary behavior of space mappings in various modern classes with integral constrains for dilatations, see e.g. [15].”
- On boundary behavior of generalized quasi-isometries (2010, background): “gly accessiblefrom D. Moreover, it was proved by us that if a domain D in Rn, n >2, is weakly flat at a point x0 ∈ ∂D, then D is locally connected at x0, see e.g. Lemma 5.1 in [20] or Lemma 3.15 in [30]. The notions of strong accessibility and weak flatness at boundary points of a domainin Rn define”
- The Beltrami equations and prime ends (2015, methodology): “New criteria of the existence of homeomorphic W 1,1 loc solutions for the degenerate Beltrami equations can be found, for instance, in [11,26], see also the references therein.”
- Equicontinuity of mappings quasiconformal in the mean (2010, background): “ated by the ring definition of Gehring for quasiconformal mappings, see e.g. [6], introduced first in the plane, see [24], and extended later on to the space case in [22], see also Chapters 7 and 11 in [17]. Let E, F ⊂ Rn be arbitrary sets. Denote by Γ(E,F,D) a family of all curves γ : [a,b] → Rn join”
- Integral conditions in the theory of the Beltrami equations (2010, background): “Our extension and strengthening of Lehto’s existence theorem for ring solutions was first published in the preprint [30], and then in the journal paper [31], see also [20].”
- The Poletskii and Väisälä inequalities for the mappings with (p, q)-distortion (2014, background): “1 Introduction The present paper is devoted to the study of quasiconformal mappings and their generalizations, such as mappings with finite distortion intensively investigated last time, see [BGMV], [BGR], [Cr1]–[Cr2], [Gol1]–[Gol2], [IM], [IR], [KO], [MRSY1]–[MRSY2], [Mikl], [Pol], [Re1]– [Re2], [R”