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Avkhadiev Farit Gabidinovich
Statistics Math-Net.Ru
Total publications: 63
Scientific articles: 62
Presentations: 3
Number of views: This page: 13062 Abstract pages: 14797 Full texts: 3767 References: 1888
Professor
Doctor of physico-mathematical sciences (1990)
Speciality:
01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date:
20.08.1947
E-mail:
email , email , email
Website:
http://kpfu.ru/Farit.Avhadiev
Keywords:
conformal mappings,
univalent functions,
hyperbolic metric,
boundary-value problems,
isperimetric inequalities,
integral inequalities.
UDC:
517.5, 517.54 , 517.544 , 517.546 , 517.956.225 , 517.956 , 532.5, 517.548 , 517.518.28
MSC:
30F10 , 30C55 , 30C60
Subject:
Geometric Function Theory. Boundary-value problems for analytic functions. Isoperimetric Inequalities of Mathematical Physics.
Main publications:
Avkhadiev F.G., Aksentev L.A., “Osnovnye rezultaty v dostatochnykh usloviyakh odnolistnosti analiticheskikh funktsii”, UMN , 30 :4(184) (1975), 3–60
Avkhadiev F.G., “Reshenie obobschennoi zadachi Sen-Venana”, Matem. sbornik , 189 :12 (1998), 3–12
Avkhadiev F.G. and Wirths K.-J., Schwarz-Pick Type Inequalities , Birkhäuser, Basel–Boston–Berlin, 2009, 156 pp.
Avkhadiev F.G., “Geometricheskoe opisanie oblastei, dlya kotorykh konstanta Khardi ravna 1/4”, Izv. RAN. Ser. matem. , 78 :5 (2014), 3–26
Avkhadiev F.G., “Hardy-Rellich inequalities in domains of the Euclidean space”, J. Math Anal. Appl. , 442 (2016), 469-484
http://www.mathnet.ru/eng/person8632
List of publications on Google Scholar
http://zbmath.org/authors/?q=ai:avkhadiev.farit-gabidinovich
http://www.ams.org/mathscinet/search/author.html?return=viewitems&mrauthid=203291
http://elibrary.ru/author_items.asp?spin=5495-2985
http://orcid.org/0000-0001-6927-7102
http://www.researcherid.com/rid/L-4832-2015
http://www.scopus.com/authid/detail.url?authorId=6603621048
Publications in Math-Net.Ru
1.
Integral inequalities of Hardy and Rellich in domains satisfying an exterior sphere condition Algebra i Analiz , 30 :2 (2018), 18–44
2.
Rellich inequalities for polyharmonic operators in plane domains Mat. Sb. , 209 :3 (2018), 4–33
3.
Conformally invariant inequalities Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz. , 142 (2017), 28–41
4.
The generalized Davies problem for polyharmonic operators Sibirsk. Mat. Zh. , 58 :6 (2017), 1205–1217
5.
Estimates of Hardy–Rellich constants for polyharmonic operators and their generalizations Ufimsk. Mat. Zh. , 9 :3 (2017), 8–17
6.
Conformal mappings of circular domains on finitely-connected non-Smirnov type domains Ufimsk. Mat. Zh. , 9 :1 (2017), 3–17
7.
Becker type univalence conditions for harmonic mappings Izv. Vyssh. Uchebn. Zaved. Mat. , 2016, no. 11, 80–85
8.
Rellich type inequalities in domains of the Euclidean space Izv. Vyssh. Uchebn. Zaved. Mat. , 2016, no. 1, 69–73
9.
Sharp constants in Hardy type inequalities Izv. Vyssh. Uchebn. Zaved. Mat. , 2015, no. 10, 61–65
10.
Hardy type $L_p$ -inequalities in $r$ -close-to-convex domains Izv. Vyssh. Uchebn. Zaved. Mat. , 2015, no. 1, 84–88
11.
Integral inequalities in domains of hyperbolic type and their applications Mat. Sb. , 206 :12 (2015), 3–28
12.
A geometric description of domains whose Hardy constant is equal to 1/4 Izv. RAN. Ser. Mat. , 78 :5 (2014), 3–26
13.
Brunn–Minkowski type inequalities for conformal and Euclidean moments of domains Izv. Vyssh. Uchebn. Zaved. Mat. , 2014, no. 5, 64–67
14.
Sharp estimates of Hardy constants for domains with special boundary properties Izv. Vyssh. Uchebn. Zaved. Mat. , 2014, no. 2, 69–73
15.
Hardy-type inequalities in arbitrary domains with finite inner radius Sibirsk. Mat. Zh. , 55 :2 (2014), 239–250
16.
Families of domains with best possible Hardy constant Izv. Vyssh. Uchebn. Zaved. Mat. , 2013, no. 9, 59–63
17.
Estimates of Hardy's constants for tubular extensions of sets and domains with finite boundary moments Mat. Tr. , 16 :2 (2013), 3–12
18.
Isoperimetric inequality for torsional rigidity in multidimensional domains Izv. Vyssh. Uchebn. Zaved. Mat. , 2012, no. 7, 45–49
19.
Sharp estimates for functions with a pole and a logarithmic singularity Izv. Vyssh. Uchebn. Zaved. Mat. , 2011, no. 12, 71–75
20.
Hardy-type inequalities with power and logarithmic weights in domains of the Euclidean space Izv. Vyssh. Uchebn. Zaved. Mat. , 2011, no. 9, 90–94
21.
The probability of a successful allocation of ball groups by boxes Lobachevskii J. Math. , 25 (2007), 3–7
22.
Hardy type inequalities in higher dimensions with explicit estimate of constants Lobachevskii J. Math. , 21 (2006), 3–31
23.
Hardy-Type Inequalities on Planar and Spatial Open Sets Tr. Mat. Inst. Steklova , 255 (2006), 8–18
24.
Concave schlicht functions with bounded opening angle at infinity Lobachevskii J. Math. , 17 (2005), 3–10
25.
New isoperimetric inequalities for moments of domains and torsional rigidity Izv. Vyssh. Uchebn. Zaved. Mat. , 2004, no. 7, 3–11
26.
On the coefficient multipliers theorem of Hardy and Littlewood Lobachevskii J. Math. , 11 (2002), 7–12
27.
New Equations of Convolution Type Obtained by Replacing the Integral by Its Maximum Mat. Zametki , 71 :1 (2002), 18–26
28.
Bilateral isoperimetric inequalities for boundary moments of plane domains Lobachevskii J. Math. , 9 (2001), 3–5
29.
Solution of the generalized Saint Venant problem Mat. Sb. , 189 :12 (1998), 3–12
30.
Classes of univalent and multivalent Christoffel-Schwarz integrals and their applications Izv. Vyssh. Uchebn. Zaved. Mat. , 1997, no. 3, 64–67
31.
Sharp estimates for the solution of a variational inverse boundary value problem in a countably connected domain Izv. Vyssh. Uchebn. Zaved. Mat. , 1996, no. 3, 3–13
32.
Zeros of coefficients of transformations and conditions for the solvability of inverse boundary value problems Izv. Vyssh. Uchebn. Zaved. Mat. , 1994, no. 8, 3–10
33.
A criterion for the solvability of the problem of constructing wing profiles based on a cavitation diagram Izv. Vyssh. Uchebn. Zaved. Mat. , 1994, no. 7, 3–12
34.
Generalizations of a theorem of Beurling and their applications to inverse boundary value problems Izv. Vyssh. Uchebn. Zaved. Mat. , 1994, no. 5, 80–83
35.
The Minkowski functional over ranges of values of the logarithm of the derivative, and univalence conditions Trudy Sem. Kraev. Zadacham , 27 (1992), 3–21
36.
Conditions for the univalence of the solution in problems of constructing wing profiles Trudy Sem. Kraev. Zadacham , 26 (1991), 3–19
37.
Metrics with variable density, and inverse boundary value problems Trudy Sem. Kraev. Zadacham , 25 (1990), 3–23
38.
Conditions for the univalence of solutions of applied inverse boundary value problems. II Trudy Sem. Kraev. Zadacham , 24 (1990), 14–38
39.
Univalent solutions of inverse boundary value problems in hydro-aerodynamics Trudy Sem. Kraev. Zadacham , 24 (1990), 3–14
40.
Admissible functionals in injectivity conditions for differentiable mappings of $n$ -dimensional domains Izv. Vyssh. Uchebn. Zaved. Mat. , 1989, no. 4, 3–12
41.
Sufficient conditions for the finite-valence of analytic functions, and their applications Itogi Nauki i Tekhn. Ser. Mat. Anal. , 25 (1987), 3–121
42.
Conditions for the univalence of solutions of applied inverse boundary value problems. I Trudy Sem. Kraev. Zadacham , 23 (1987), 6–24
43.
Achievements and problems in sufficient conditions for finite-valence of analytic functions Izv. Vyssh. Uchebn. Zaved. Mat. , 1986, no. 10, 3–16
44.
Construction of a Riemann surface from its boundary Izv. Vyssh. Uchebn. Zaved. Mat. , 1986, no. 5, 3–11
45.
Necessary conditions for the existence of a Riemann surface with a given boundary Trudy Sem. Kraev. Zadacham , 22 (1985), 6–15
46.
An inverse boundary value problem for a function with singularities Trudy Sem. Kraev. Zadacham , 21 (1984), 5–19
47.
Some geometric inequalities and sufficient conditions for $p$ -valence Izv. Vyssh. Uchebn. Zaved. Mat. , 1983, no. 10, 3–12
48.
Method of locally homeomorphic extension in the theory of sufficient conditions for univalence Trudy Sem. Kraev. Zadacham , 20 (1983), 3–10
49.
Univalence of mappings with given properties Trudy Sem. Kraev. Zadacham , 19 (1983), 3–14
50.
Univalent solvability of the inverse problem of blast theory Trudy Sem. Kraev. Zadacham , 13 (1976), 24–29
51.
Singular cases of the principle of correspondence of boundaries Trudy Sem. Kraev. Zadacham , 13 (1976), 13–23
52.
Sufficient conditions for the univalence of quasiconformal mappings Mat. Zametki , 18 :6 (1975), 793–802
53.
The main results on sufficient cjnditions for an analytic function to be schlicht Uspekhi Mat. Nauk , 30 :4(184) (1975), 3–60
54.
Some univalent mappings of the half-plane Trudy Sem. Kraev. Zadacham , 11 (1974), 3–8
55.
On the weak and the strong problem of univalence in inverse boundary value problems Trudy Sem. Kraev. Zadacham , 10 (1973), 3–10
56.
Some sufficient conditions for the univalence of analytic functions Trudy Sem. Kraev. Zadacham , 9 (1972), 3–11
57.
Some sufficient conditions for the univalence of the solutions to applied inverse boundary value problems Trudy Sem. Kraev. Zadacham , 8 (1971), 3–11
58.
Conditions for the univalence of analytic functions Izv. Vyssh. Uchebn. Zaved. Mat. , 1970, no. 11, 3–13
59.
A certain class of univalent functions Izv. Vyssh. Uchebn. Zaved. Mat. , 1970, no. 10, 12–20
60.
Application of the Schwarzian derivative for the study of the univalent solvability of inverse boundary value problems Trudy Sem. Kraev. Zadacham , 7 (1970), 78–80
61.
Radii of convexity and close-to-convexity of certain integral representations Mat. Zametki , 7 :5 (1970), 581–592
62.
An application of close-to-convex functions to inverse boundary value problems Izv. Vyssh. Uchebn. Zaved. Mat. , 1968, no. 6, 3–10
63.
Vladimir Mikhailovich Miklyukov (obituary) Uspekhi Mat. Nauk , 69 :3(417) (2014), 173–176
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