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2012, Mathematical surveys and monographs, ISBN 9780821890868, Volume no. 184., xi, 171
Book
2009, Princeton mathematical series, ISBN 0691137773, Volume 48, xvi, 677
This book explores the most recent developments in the theory of planar quasiconformal mappings with a particular focus on the interactions with partial... 
Differential equations, Elliptic | Quasiconformal mappings | Mathematics
Book
2020, Springer Monographs in Mathematics, ISBN 3030320677, 504
This book is an introduction to the theory of quasiconformal and quasiregular mappings in the euclidean n-dimensional space, (where n is greater than 2). There... 
eBook
GAFA Geometric And Functional Analysis, ISSN 1016-443X, 09/2007, Volume 17, Issue 3, pp. 645 - 664
We show that a quasiconformal mapping between two proper, locally Ahlfors Q-regular metric spaces, Q > 1, is absolutely continuous on almost every curve. We... 
quasiconformal mappings | 30C65 | 26B30 | Absolute continuity | Analysis | metricmeasure spaces | Mathematics | Metricmeasure spaces | Quasiconformal mappings | DEFINITION | MATHEMATICS | SPACES | RIGIDITY | absolute continuity
Journal Article
1993, ISBN 3540566481, Volume Folge 3, Bd. 26., x, 213
Book
Advances in Mathematics, ISSN 0001-8708, 01/2016, Volume 288, pp. 1069 - 1096
Suppose that f:D→D′ is a quasiconformal mapping, where D and D′ are domains in Rn, and that D is a broad domain. We show that for every arcwise connected... 
Broad domain | Quasisymmetry | Quasiconformal mapping | Weak quasisymmetry | [formula omitted] set | LLC | set | MATHEMATICS | HOMEOMORPHISMS | LOEWNER SPACES | MAPS | LLC2 set | QUASICONFORMALITY | DOMAINS
Journal Article
Acta Mathematica Sinica, English Series, ISSN 1439-8516, 9/2015, Volume 31, Issue 9, pp. 1379 - 1390
In this paper, we prove a local Hölder estimate of (K 1,K 2)-quasiconformal mappings between n-dimensional hypersurfaces of R n+1 under an assumption of... 
30C65 | co-area formula | ( K 1 , K 2 )-quasiconformal mappings | Mathematics, general | isoperimetric inequality | 53A07 | Mathematics | 30L10 | (K 1 ,K 2 )-quasiconformal mappings | MATHEMATICS | MATHEMATICS, APPLIED | (K-1, K-2)-quasiconformal mappings | REGULARITY | Studies | Mapping | Topological manifolds | Mathematical analysis
Journal Article
Mathematische Nachrichten, ISSN 0025-584X, 08/2018, Volume 291, Issue 11-12, pp. 1757 - 1768
We consider the class of all sense‐preserving harmonic mappings f=h+g¯ of the unit disk D, where h and g are analytic with g(0)=0, and determine the Bohr... 
and analytic functions | K‐quasiconformal mappings | Schwarz lemma | Primary: 30A10 | 30B10 | locally univalent | 30C62 | Bohr radius | 31A05; Secondary: 30C75 | Bloch space | harmonic | K-quasiconformal mappings | MATHEMATICS | POWER-SERIES | THEOREM | CONSTANT | BLOCH FUNCTIONS
Journal Article
Sbornik Mathematics, ISSN 1064-5616, 2012, Volume 203, Issue 10, pp. 1383 - 1410
Journal Article
2006, 2nd ed., University lecture series, ISBN 0821836447, Volume 38, viii, 162
Book
Filomat, ISSN 0354-5180, 1/2013, Volume 27, Issue 2, pp. 391 - 402
Journal Article
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, ISSN 0022-247X, 06/2015, Volume 426, Issue 2, pp. 635 - 658
Journal Article
Advances in Mathematics, ISSN 0001-8708, 07/2019, Volume 351, pp. 479 - 494
For all n≥2, we construct a metric space (X,d) and a quasisymmetric mapping f:[0,1]n→X with the property that f−1 is not absolutely continuous with respect to... 
Metric space | Quasiconformal mapping | Absolute continuity | MATHEMATICS
Journal Article
ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, ISSN 1239-629X, 2019, Volume 44, Issue 1, pp. 103 - 123
Quasiconformal maps in the plane are orientation preserving homeomorphisms that satisfy certain distortion inequalities; infinitesimally, they map circles to... 
MATHEMATICS | Hausdorff dimension | Quasiconformal mapping | Beltrami equation
Journal Article
1983, Lecture notes in mathematics, ISBN 0387119892, Volume 978, vi, 177
Book
1974, ISBN 9780856260056, 553
Book
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 07/2017, Volume 451, Issue 2, pp. 1026 - 1044
Let ϕ be a quasiconformal mapping, and let Tϕ be the composition operator which maps f to f∘ϕ. Since ϕ may not be bi-Lipschitz, the composition operator need... 
Quasiconformal mappings | Sobolev spaces | Fractional smoothness | Composition operator | MATHEMATICS | MATHEMATICS, APPLIED | INVERSE CONDUCTIVITY PROBLEM | PLANE | STABILITY
Journal Article
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