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Tukia, Pekka

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Author ID: tukia.pekka Recent zbMATH articles by "Tukia, Pekka"
Published as: Tukia, Pekka; Tukia, P.
Documents Indexed: 53 Publications since 1972

Publications by Year

Citations contained in zbMATH Open

47 Publications have been cited 683 times in 490 Documents Cited by Year
Quasisymmetric embeddings of metric spaces. Zbl 0403.54005
Tukia, P.; Väisälä, J.
117
1980
Convergence groups and Gromov’s metric hyperbolic spaces. Zbl 0855.30036
Tukia, Pekka
52
1994
Homeomorphic conjugates of Fuchsian groups. Zbl 0644.30027
Tukia, Pekka
38
1988
Lipschitz und quasiconformal approximation and extension. Zbl 0448.30021
Tukia, P.; Vaeisaelae, J.
37
1981
Hausdorff dimension and quasisymmetric mappings. Zbl 0677.30016
Tukia, Pekka
33
1989
Quasiconformal extension from dimension n to n+1. Zbl 0484.30017
Tukia, P.; Vaeisaelae, J.
31
1982
On isomorphisms of geometrically finite Möbius groups. Zbl 0572.30036
Tukia, Pekka
31
1985
The planar Schönflies theorem for Lipschitz maps. Zbl 0411.57015
Tukia, Pekka
30
1980
On quasiconformal groups. Zbl 0603.30026
Tukia, Pekka
24
1986
Quasiconformal extension of quasisymmetric mappings compatible with a Möbius group. Zbl 0562.30018
Tukia, Pekka
23
1985
Conical limit points and uniform convergence groups. Zbl 0909.30034
Tukia, Pekka
21
1998
A quasiconformal group not isomorphic to a Moebius group. Zbl 0443.30026
Tukia, Pekka
20
1981
Compactness properties of \(\mu\)-homeomorphisms. Zbl 0692.30017
Tukia, Pekka
20
1990
The Hausdorff dimension of the limit set of a geometrically finite Kleinian group. Zbl 0539.30034
Tukia, Pekka
20
1984
Differentiability and rigidity of Möbius groups. Zbl 0564.30033
Tukia, Pekka
19
1985
On two-dimensional quasiconformal groups. Zbl 0411.30038
Tukia, Pekka
17
1980
Extension of embeddings close to isometries or similarities. Zbl 0533.30020
Tukia, P.; Väisälä, J.
16
1984
Extension of quasisymmetric and Lipschitz embeddings of the real line into the plane. Zbl 0431.30011
Tukia, Pekka
15
1981
On discrete groups of the unit disk and their isomorphisms. Zbl 0225.30022
Tukia, Pekka
15
1972
A rigidity theorem for Möbius groups. Zbl 0674.30038
Tukia, P.
12
1989
Discreteness of subgroups of SL(2,\(\mathbf C\)) containing elliptic elements. Zbl 1017.30053
Tukia, Pekka; Wang, Xiantao
11
2002
A remark on 1-quasiconformal maps. Zbl 0533.30019
Tukia, P.; Väisälä, J.
8
1985
Spaces and arcs of bounded turning. Zbl 0871.30018
Tukia, Pekka
7
1996
Bilipschitz extensions of maps having quasiconformal extensions. Zbl 0533.30021
Tukia, Pekka; Väisälä, Jussi
7
1984
Conformal measures associated to ends of hyperbolic \(n\)-manifolds. Zbl 1167.30021
Anderson, James W.; Falk, Kurt; Tukia, Pekka
6
2007
Automorphic quasimeromorphic mappings for torsionless hyperbolic groups. Zbl 0545.30012
Tukia, Pekka
5
1985
The space of quasisymmetric mappings. Zbl 0353.32028
Tukia, Pekka
4
1977
Conservative action and the horospheric limit set. Zbl 0890.30029
Tukia, Pekka
4
1997
Quasisymmetric and Lipschitz approximation of embeddings. Zbl 0456.57005
Luukkainen, Jouni; Tukia, P.
4
1981
The Poincaré series and the conformal measure of conical and Myrberg limit points. Zbl 0799.30035
Tukia, Pekka
4
1994
On infinite dimensional Teichmüller spaces. Zbl 0391.32014
Tukia, Pekka
4
1977
A note on Patterson measures. Zbl 1121.37035
Falk, Kurt; Tukia, Pekka
3
2006
A remark on a paper by Floyd. Zbl 0653.30027
Tukia, Pekka
3
1988
Convergence and Möbius groups. Zbl 0659.30036
Martin, Gaven J.; Tukia, Pekka
3
1988
Multiplier preserving isomorphisms between Möbius groups. Zbl 0331.30020
Tukia, Pekka
2
1975
On the dimension of limit sets of geometrically finite Möbius groups. Zbl 0789.30032
Tukia, Pekka
2
1994
Generalizations of Fuchsian and Kleinian groups. Zbl 0820.30026
Tukia, Pekka
2
1994
Limits of Teichmüller mappings on trajectories. Zbl 1133.30318
Tukia, Pekka
2
2004
Teichmüller sequences on trajectories invariant under a Kleinian group. Zbl 1133.30331
Tukia, Pekka
2
2006
Extension of boundary homeomorphisms of discrete groups of the unit disk. Zbl 0265.30023
Tukia, Pekka
2
1973
Homeomorphic conjugates of Fuchsian groups: An outline. Zbl 0662.30040
Tukia, Pekka
1
1988
Lipschitz approximation of homeomorphisms. Zbl 0409.57012
Tukia, Pekka
1
1979
Convergence groups with an invariant component pair. Zbl 0790.30033
Martin, Gaven J.; Tukia, Pekka
1
1992
Mostow-rigidity and non-compact hyperbolic manifolds. Zbl 0728.30031
Tukia, Pekka
1
1991
On limit set of geometrically finite Kleinian groups. Zbl 0564.30032
Tukia, Pekka
1
1986
On limit set of geometrically finite Kleinian groups. Zbl 0576.30038
Tukia, Pekka
1
1985
Is the mathematics of the future similar to the mathematics of today? Zbl 1231.00028
Tukia, Pekka
1
1994
Conformal measures associated to ends of hyperbolic \(n\)-manifolds. Zbl 1167.30021
Anderson, James W.; Falk, Kurt; Tukia, Pekka
6
2007
A note on Patterson measures. Zbl 1121.37035
Falk, Kurt; Tukia, Pekka
3
2006
Teichmüller sequences on trajectories invariant under a Kleinian group. Zbl 1133.30331
Tukia, Pekka
2
2006
Limits of Teichmüller mappings on trajectories. Zbl 1133.30318
Tukia, Pekka
2
2004
Discreteness of subgroups of SL(2,\(\mathbf C\)) containing elliptic elements. Zbl 1017.30053
Tukia, Pekka; Wang, Xiantao
11
2002
Conical limit points and uniform convergence groups. Zbl 0909.30034
Tukia, Pekka
21
1998
Conservative action and the horospheric limit set. Zbl 0890.30029
Tukia, Pekka
4
1997
Spaces and arcs of bounded turning. Zbl 0871.30018
Tukia, Pekka
7
1996
Convergence groups and Gromov’s metric hyperbolic spaces. Zbl 0855.30036
Tukia, Pekka
52
1994
The Poincaré series and the conformal measure of conical and Myrberg limit points. Zbl 0799.30035
Tukia, Pekka
4
1994
On the dimension of limit sets of geometrically finite Möbius groups. Zbl 0789.30032
Tukia, Pekka
2
1994
Generalizations of Fuchsian and Kleinian groups. Zbl 0820.30026
Tukia, Pekka
2
1994
Is the mathematics of the future similar to the mathematics of today? Zbl 1231.00028
Tukia, Pekka
1
1994
Convergence groups with an invariant component pair. Zbl 0790.30033
Martin, Gaven J.; Tukia, Pekka
1
1992
Mostow-rigidity and non-compact hyperbolic manifolds. Zbl 0728.30031
Tukia, Pekka
1
1991
Compactness properties of \(\mu\)-homeomorphisms. Zbl 0692.30017
Tukia, Pekka
20
1990
Hausdorff dimension and quasisymmetric mappings. Zbl 0677.30016
Tukia, Pekka
33
1989
A rigidity theorem for Möbius groups. Zbl 0674.30038
Tukia, P.
12
1989
Homeomorphic conjugates of Fuchsian groups. Zbl 0644.30027
Tukia, Pekka
38
1988
A remark on a paper by Floyd. Zbl 0653.30027
Tukia, Pekka
3
1988
Convergence and Möbius groups. Zbl 0659.30036
Martin, Gaven J.; Tukia, Pekka
3
1988
Homeomorphic conjugates of Fuchsian groups: An outline. Zbl 0662.30040
Tukia, Pekka
1
1988
On quasiconformal groups. Zbl 0603.30026
Tukia, Pekka
24
1986
On limit set of geometrically finite Kleinian groups. Zbl 0564.30032
Tukia, Pekka
1
1986
On isomorphisms of geometrically finite Möbius groups. Zbl 0572.30036
Tukia, Pekka
31
1985
Quasiconformal extension of quasisymmetric mappings compatible with a Möbius group. Zbl 0562.30018
Tukia, Pekka
23
1985
Differentiability and rigidity of Möbius groups. Zbl 0564.30033
Tukia, Pekka
19
1985
A remark on 1-quasiconformal maps. Zbl 0533.30019
Tukia, P.; Väisälä, J.
8
1985
Automorphic quasimeromorphic mappings for torsionless hyperbolic groups. Zbl 0545.30012
Tukia, Pekka
5
1985
On limit set of geometrically finite Kleinian groups. Zbl 0576.30038
Tukia, Pekka
1
1985
The Hausdorff dimension of the limit set of a geometrically finite Kleinian group. Zbl 0539.30034
Tukia, Pekka
20
1984
Extension of embeddings close to isometries or similarities. Zbl 0533.30020
Tukia, P.; Väisälä, J.
16
1984
Bilipschitz extensions of maps having quasiconformal extensions. Zbl 0533.30021
Tukia, Pekka; Väisälä, Jussi
7
1984
Quasiconformal extension from dimension n to n+1. Zbl 0484.30017
Tukia, P.; Vaeisaelae, J.
31
1982
Lipschitz und quasiconformal approximation and extension. Zbl 0448.30021
Tukia, P.; Vaeisaelae, J.
37
1981
A quasiconformal group not isomorphic to a Moebius group. Zbl 0443.30026
Tukia, Pekka
20
1981
Extension of quasisymmetric and Lipschitz embeddings of the real line into the plane. Zbl 0431.30011
Tukia, Pekka
15
1981
Quasisymmetric and Lipschitz approximation of embeddings. Zbl 0456.57005
Luukkainen, Jouni; Tukia, P.
4
1981
Quasisymmetric embeddings of metric spaces. Zbl 0403.54005
Tukia, P.; Väisälä, J.
117
1980
The planar Schönflies theorem for Lipschitz maps. Zbl 0411.57015
Tukia, Pekka
30
1980
On two-dimensional quasiconformal groups. Zbl 0411.30038
Tukia, Pekka
17
1980
Lipschitz approximation of homeomorphisms. Zbl 0409.57012
Tukia, Pekka
1
1979
The space of quasisymmetric mappings. Zbl 0353.32028
Tukia, Pekka
4
1977
On infinite dimensional Teichmüller spaces. Zbl 0391.32014
Tukia, Pekka
4
1977
Multiplier preserving isomorphisms between Möbius groups. Zbl 0331.30020
Tukia, Pekka
2
1975
Extension of boundary homeomorphisms of discrete groups of the unit disk. Zbl 0265.30023
Tukia, Pekka
2
1973
On discrete groups of the unit disk and their isomorphisms. Zbl 0225.30022
Tukia, Pekka
15
1972
all top 5

Cited by 464 Authors

14 Vuorinen, Matti Keijo Kustaa
12 Koskela, Pekka
12 Väisälä, Jussi
11 Martin, Gaven J.
11 Tukia, Pekka
10 Aseev, Vladislav Vasil’evich
10 Wen, Shengyou
9 Heinonen, Juha
9 Matsuzaki, Katsuhiko
9 Wang, Xiantao
9 Wu, Jang-Mei
8 Kleiner, Bruce
8 Ryazanov, Vladimir Il’ich
7 Fletcher, Alastair N.
6 Bowditch, Brian H.
6 Kapovich, Michael
6 Kovalev, Leonid V.
6 Yang, Shihai
5 Bonfert-Taylor, Petra
5 Bonk, Mario
5 Herron, David A.
5 Iwaniec, Tadeusz
5 Li, Yanzhe
5 Li, Yaxiang
5 Markovic, Vladimir
5 Martio, Olli
5 Peltonen, Kirsi
5 Trotsenko, Dmitrĭ Aleksandrovich
5 Tyson, Jeremy T.
4 Falk, Kurt
4 Leeb, Bernhard
4 Luukkainen, Jouni
4 Lytchak, Alexander
4 Onninen, Jani
4 Potyagailo, Leonid
4 Rohde, Steffen
4 Vellis, Vyron
4 Wenger, Stefan
4 Yang, Shanshuang
4 Yang, Wenyuan
4 Zhou, Qingshan
3 Apanasov, Boris Nikolaevich
3 Astala, Kari
3 Belegradek, Igor
3 Bishop, Christopher James
3 Cheng, Tao
3 Dal’bo, Françoise
3 Fang, Ainong
3 Fu, Xi
3 Gerasimov, Victor N.
3 Ghamsari, Manouchehr
3 Gutlyanskiĭ, Vladimir Ya.
3 Hajłasz, Piotr
3 Huang, Manzi
3 Huang, Xiaojun
3 Izeki, Hiroyasu
3 Klén, Riku
3 Kuzin, D. G.
3 Li, Liulan
3 Liu, Jinsong
3 Mackay, John M.
3 Mayer, Volker
3 Meyer, Daniel
3 Minsky, Yair N.
3 Mosher, Lee
3 Naor, Assaf
3 Osin, Denis V.
3 Rajala, Kai
3 Srebro, Uri
3 Stratmann, Bernd O.
3 Sugawa, Toshiyuki
3 Swenson, Eric L.
3 Taylor, Edward C.
3 Wei, Chun
3 Wildrick, Kevin
3 Xi, Lifeng
3 Yakubov, Eduard H.
3 Yang, Jiaojiao
2 Alestalo, Pekka
2 Azzam, Jonas
2 Baik, Hyungryul
2 Behrstock, Jason A.
2 Benešová, Barbora
2 Benoist, Yves
2 Boileau, Michel Charles
2 Brania, Abdelkrim
2 Canary, Richard D.
2 Cannon, James W.
2 Cao, Wensheng
2 Cornelissen, Gunther
2 Dahmani, François
2 Dai, Yuxia
2 Druţu, Cornelia
2 Dymarz, Tullia
2 Fässler, Katrin S.
2 Freden, Eric M.
2 Frigerio, Roberto
2 Gekhtman, Ilya
2 Gusevskij, N. A.
2 Haller-Dintelmann, Robert
...and 364 more Authors
all top 5

Cited in 124 Serials

34 Transactions of the American Mathematical Society
27 Proceedings of the American Mathematical Society
26 Journal d’Analyse Mathématique
25 Conformal Geometry and Dynamics
19 Siberian Mathematical Journal
19 Geometry & Topology
14 Inventiones Mathematicae
13 Geometriae Dedicata
12 Acta Mathematica
12 Geometric and Functional Analysis. GAFA
11 Journal of Mathematical Analysis and Applications
11 Annales Academiae Scientiarum Fennicae. Mathematica
8 Advances in Mathematics
8 Duke Mathematical Journal
8 Topology and its Applications
8 Ergodic Theory and Dynamical Systems
8 Algebraic & Geometric Topology
7 Israel Journal of Mathematics
7 Mathematische Annalen
7 Mathematische Zeitschrift
7 The Journal of Geometric Analysis
6 Acta Mathematica Sinica. English Series
6 Complex Variables and Elliptic Equations
5 Publications Mathématiques
5 Michigan Mathematical Journal
5 Bulletin of the American Mathematical Society. New Series
5 Journal of the European Mathematical Society (JEMS)
5 Groups, Geometry, and Dynamics
4 Bulletin of the Australian Mathematical Society
4 Illinois Journal of Mathematics
4 Memoirs of the American Mathematical Society
4 Journal of Mathematical Sciences (New York)
4 Computational Methods and Function Theory
3 Archive for Rational Mechanics and Analysis
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Journal of Geometry and Physics
3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
3 Glasgow Mathematical Journal
3 Journal of Functional Analysis
3 Manuscripta Mathematica
3 Monatshefte für Mathematik
3 Osaka Journal of Mathematics
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
3 Journal of the American Mathematical Society
3 Acta Mathematica Sinica. New Series
3 The Journal of Analysis
3 Calculus of Variations and Partial Differential Equations
3 Fractals
2 Chaos, Solitons and Fractals
2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2 Archiv der Mathematik
2 Journal of the Mathematical Society of Japan
2 Proceedings of the Japan Academy. Series A
2 Tohoku Mathematical Journal. Second Series
2 \(K\)-Theory
2 Revista Matemática Iberoamericana
2 International Journal of Algebra and Computation
2 Boletim da Sociedade Brasileira de Matemática. Nova Série
2 Discrete and Continuous Dynamical Systems
2 Transformation Groups
2 Abstract and Applied Analysis
2 Sibirskie Èlektronnye Matematicheskie Izvestiya
2 Science China. Mathematics
2 Journal of Fractal Geometry
1 Communications in Mathematical Physics
1 Journal of Statistical Physics
1 Rocky Mountain Journal of Mathematics
1 Russian Mathematical Surveys
1 Arkiv för Matematik
1 Annales de l’Institut Fourier
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Applied Mathematics and Optimization
1 Bulletin of the London Mathematical Society
1 Commentarii Mathematici Helvetici
1 Czechoslovak Mathematical Journal
1 Fundamenta Mathematicae
1 Journal of Differential Equations
1 Journal of Differential Geometry
1 Journal für die Reine und Angewandte Mathematik
1 Journal of Soviet Mathematics
1 Kodai Mathematical Journal
1 Mathematische Nachrichten
1 Mathematica Scandinavica
1 Nagoya Mathematical Journal
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Results in Mathematics
1 Annals of Global Analysis and Geometry
1 Linear Algebra and its Applications
1 SIAM Review
1 Expositiones Mathematicae
1 Journal of Dynamics and Differential Equations
1 Indagationes Mathematicae. New Series
1 Journal of Knot Theory and its Ramifications
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Russian Mathematics
1 Potential Analysis
1 Turkish Journal of Mathematics
1 The New York Journal of Mathematics
1 Selecta Mathematica. New Series
...and 24 more Serials
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Cited in 41 Fields

298 Functions of a complex variable (30-XX)
123 Group theory and generalizations (20-XX)
101 Manifolds and cell complexes (57-XX)
69 Dynamical systems and ergodic theory (37-XX)
56 Measure and integration (28-XX)
53 Differential geometry (53-XX)
32 Functional analysis (46-XX)
30 Several complex variables and analytic spaces (32-XX)
28 Topological groups, Lie groups (22-XX)
24 Geometry (51-XX)
23 Global analysis, analysis on manifolds (58-XX)
21 General topology (54-XX)
13 Real functions (26-XX)
12 Calculus of variations and optimal control; optimization (49-XX)
12 Probability theory and stochastic processes (60-XX)
11 Potential theory (31-XX)
10 Partial differential equations (35-XX)
9 Combinatorics (05-XX)
8 Number theory (11-XX)
6 Operator theory (47-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
5 Abstract harmonic analysis (43-XX)
4 Algebraic topology (55-XX)
4 Quantum theory (81-XX)
3 Algebraic geometry (14-XX)
3 Ordinary differential equations (34-XX)
3 Convex and discrete geometry (52-XX)
3 Mechanics of deformable solids (74-XX)
2 General and overarching topics; collections (00-XX)
2 \(K\)-theory (19-XX)
2 Computer science (68-XX)
1 History and biography (01-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Nonassociative rings and algebras (17-XX)
1 Category theory; homological algebra (18-XX)
1 Special functions (33-XX)
1 Difference and functional equations (39-XX)
1 Sequences, series, summability (40-XX)
1 Fluid mechanics (76-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Relativity and gravitational theory (83-XX)

Citations by Year