01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date:
14.01.1946
E-mail:
,
Keywords:
quasiisometries; boundary behavior of mappings; homeomorphic images of ball; surfaces and topological manifolds without boundary; intrinsic metrics; pre-ends; prime ends; factorization of set of pre-ends; Caratheodory and Lindelof theorems; compact and Hausdorff completions.
Main publications:
Karmazin A. P. Prostye predkontsy prostranstvennykh oblastei // Tomskii un-t, dep. v VINITI, # 2220-V, 1992, 55 s.
Karmazin A. P. Teoriya predkontsov prostranstvennykh oblastei: faktorizatsiya predkontsov po ikh obschemu tsokolyu // Red. SMZh, dep. v VINITI, # 1102-V, 1995, 60 s.
Karmazin A. P. Osnovnye teoremy teorii predkontsov prostranstvennykh oblastei // Matematicheskie trudy, Novosibirsk: Izd-vo IM SO RAN, 1998, t. 1, vyp. 2, s. 79–110.
Karmazin A. P. Utochnenie teoremy Lindelefa i drugie primeneniya teorii predkontsov // Matem. zametki, 1999, t. 65, vyp. 5, s. 787–790.
Karmazin A. P. Metricheskie struktury prostranstvennykh oblastei i granichnoe povedenie kvaziizometrii // Red. SMZh, dep. v VINITI. # 3244-V, 1999, 74 s.
A. P. Karmazin, D. R. Mukhutdinova, “Removable sets and the distribution of intrinsic boundary components under quasi-isometries of domains in $R^n$”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2011, no. 1(13), 9–25
2005
2.
A. P. Karmazin, “The Riemannian structure of John and uniform domains in $\mathbb{R}^n$”, Sibirsk. Mat. Zh., 46:4 (2005), 786–804; Siberian Math. J., 46:4 (2005), 623–636
A. P. Karmazin, “The Set of Pre-Ends and the Ideal Boundary of a Manifold without Boundary”, Mat. Zametki, 71:4 (2002), 554–557; Math. Notes, 71:4 (2002), 505–508
A. P. Karmazin, “Parabolicity and Hyperbolicity Conditions for Boundary Elements of Surfaces”, Mat. Zametki, 70:6 (2001), 948–951; Math. Notes, 70:6 (2001), 866–869
1999
5.
A. P. Karmazin, “A refinement of Lindelöf's theorem and other applications of the theory of prime ends”, Mat. Zametki, 65:5 (1999), 787–790
1998
6.
A. P. Karmazin, “Basic Theorems of the Theory of Pre-ends for Space Domains”, Mat. Tr., 1:2 (1998), 79–110; Siberian Adv. Math., 9:3 (1999), 86–114
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