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The Journal of Geometric Analysis, ISSN 1050-6926, 4/2017, Volume 27, Issue 2, pp. 1468 - 1488
Journal Article
TheScientificWorld, ISSN 2356-6140, 4/2014, Volume 2014, pp. 930571 - 9
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 02/2017, Volume 446, Issue 2, pp. 1154 - 1166
We estimate the Jacobian of harmonic mapping of the unit disk onto a smooth and convex Jordan domain via the boundary function and the boundary curvature of the image domain... 
Harmonic | Curvature | Quasiconformal | MATHEMATICS | MATHEMATICS, APPLIED | THEOREM | INEQUALITY | JORDAN DOMAINS
Journal Article
Potential analysis, ISSN 1572-929X, 2018, Volume 50, Issue 3, pp. 415 - 437
Journal Article
Annales Academiae Scientiarum Fennicae Mathematica, ISSN 1239-629X, 2018, Volume 43, pp. 981 - 990
We present a new and simple proof of Teichmfiller-Wittich-Belinskit's and Gutlyanskii-Martio's theorems on the conformality of quasiconformal mappings at a given point... 
Quasiconformal mapping | MATHEMATICS | BEHAVIOR
Journal Article
Bulletin of the Malaysian Mathematical Sciences Society, ISSN 0126-6705, 2019, Volume 42, Issue 5, pp. 2151 - 2168
The present article concerns the Bohr radius for K-quasiconformal sense-preserving harmonic mappings $$f=h+\overline{g}$$ f = h + g ¯ in the unit disk $$\mathbb {D... 
Starlike and convex functions | Subordination | 30C45 | Primary 30A10 | Harmonic mappings | 30C62 | Mathematics, general | Secondary 30C75 | Mathematics | Applications of Mathematics | Bohr radius | K -quasiconformal mappings | MATHEMATICS | K-quasiconformal mappings
Journal Article
Discrete & Computational Geometry, ISSN 0179-5376, 9/2010, Volume 44, Issue 2, pp. 330 - 428
Journal Article
1966, Van Nostrand mathematical studies, 10, 146
Book
数学学报:英文版, ISSN 1439-8516, 2013, Volume 29, Issue 8, pp. 1543 - 1554
Journal Article
Proceedings of the London Mathematical Society, ISSN 0024-6115, 11/2005, Volume 91, Issue 3, pp. 655 - 702
The theory of mappings of finite distortion has arisen out of a need to extend the ideas and applications of the classical theory of quasiconformal mappings to the degenerate elliptic setting... 
quasiconformal | calculus of variations | extremal | harmonic | MATHEMATICS | UNIVALENT HARMONIC-MAPPINGS | ANNULI | CONJECTURE
Journal Article
Transactions of the American Mathematical Society, ISSN 0002-9947, 08/2011, Volume 363, Issue 8, pp. 4043 - 4061
Let \mathcal{QC}(K,g)-quasiconformal mappings of the open unit disk onto itself satisfying the PDE \Delta w =g g\in C(\overline{\mathbb{U}}). It is proved... 
Harmonics | Mathematical theorems | Homeomorphism | Differentials | Mathematical functions | Mathematical inequalities | Partial derivatives | Spherical coordinates | Lipschitz condition | Quasiconformal harmonic maps | MATHEMATICS | BOUNDARY CORRESPONDENCE | BALL | MAPS | HARMONIC-MAPPINGS | DOMAINS | QUASICONFORMAL MAPPINGS
Journal Article
Annales Academiae Scientiarum Fennicae Mathematica, ISSN 1239-629X, 2016, Volume 41, Issue 2, pp. 867 - 879
... with boundary, equipped with their arc metrics, when the boundary lengths tend to zero. We use this to obtain a result on the translation distances of mapping classes... 
Hyperbolic geometry | Translation distance | Pseudo-Anosov | Teichmüller space | Thurston metric | Quasiconformal mapping | Reducible | Arc metric | Mapping class group | MATHEMATICS | arc metric | mapping class group | Teichmuller space | hyperbolic geometry | translation distance | pseudo-Anosov | BOUNDARY | quasiconformal mapping | reducible | SURFACES | Geometric Topology | Mathematics
Journal Article
Bulletin of the Malaysian Mathematical Sciences Society, ISSN 0126-6705, 1/2016, Volume 39, Issue 1, pp. 349 - 358
Let $$f(z)=h(z)+\overline{g(z)}$$ f ( z ) = h ( z ) + g ( z ) ¯ be a harmonic v-Bloch mapping defined in the unit disk $${\mathbb {D}}$$ D with $$\Vert f\Vert... 
Bloch constant | Primary 30C62 | Harmonic quasiconformal mappings | Harmonic v -Bloch mappings | 30F15 | Mathematics, general | Secondary 30C20 | Mathematics | Applications of Mathematics | Coefficient estimates | Harmonic v-Bloch mappings | MATHEMATICS | BOUNDARY CORRESPONDENCE | CONSTANT | Theorems | Mapping
Journal Article
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 and nonlinear analysis... 
Differential equations, Elliptic | Quasiconformal mappings | Mathematics
Book
Nonlinear analysis, ISSN 0362-546X, 2015, Volume 115, pp. 62 - 70
In this paper, we give bounds for length and area distortion for harmonic K-quasiconformal mappings, and investigate certain Lipschitz-type spaces on harmonic... 
Hardy and Lipschitz spaces | Quasiconformal mappings | Harmonic and Bloch mappings | Length | Area function | Hardy and lipschitz spaces | Harmonic and bloch mappings | MATHEMATICS, APPLIED | LANDAUS THEOREM | QUASI-CONFORMAL MAPPINGS | CONSTANT | EQUIVALENT NORMS | BLOCH | MATHEMATICS | HOLOMORPHIC-FUNCTIONS | Harmonics | Distortion | Nonlinearity | Mapping
Journal Article
Bulletin of the Australian Mathematical Society, ISSN 0004-9727, 02/2018, Volume 97, Issue 1, pp. 141 - 152
We consider a scale invariant Cassinian metric and a Gromov hyperbolic metric. We discuss a distortion property of the scale invariant Cassinian metric under... 
hyperbolic-type metrics | the scale invariant Cassinian metric | quasiconformal map | uniform continuity | Möbius map | the Gromov hyperbolic metric | MATHEMATICS | Mobius map
Journal Article
Czechoslovak Mathematical Journal, ISSN 0011-4642, 3/2019, Volume 69, Issue 1, pp. 183 - 195
Journal Article
Filomat, ISSN 0354-5180, 2018, Volume 32, Issue 15, pp. 5371 - 5383
A sufficient condition of a flat harmonic quasiconformal mapping to be a quasihyperbolic quasiisometry on any subdomain of C is given in this paper, which generalizes the corresponding results... 
Schwarz lemma | Quasiregular mapping | ϕ-Harmonic quasiconformal mapping | Quasihyperbolic quasi-isometry | Euclidean harmonic mapping | MATHEMATICS | MATHEMATICS, APPLIED | MAPS | UNIFORM DOMAINS | CURVATURE | CONFORMAL MAPPINGS | CONSTANT | phi-Harmonic quasiconformal mapping
Journal Article
Measurement, ISSN 0263-2241, 02/2016, Volume 80, pp. 270 - 280
.... Kernel trick improves largely the performance of learning system including recognition, clustering, prediction through the nonlinear kernel mapping from the input data space to output data space... 
Quasiconformal multi-kernels learning | Kernel learning | Machine learning | Hyperspectral image classification | INSTRUMENTS & INSTRUMENTATION | ENGINEERING, MULTIDISCIPLINARY | CLASSIFICATION | Remote sensing | Electrical engineering | Visual learning
Journal Article
Pacific Journal of Mathematics, ISSN 0030-8730, 2011, Volume 251, Issue 2, pp. 361 - 374
For a subgroup of the quasiconformal mapping class group of a Riemann surface in general, we give an algebraic condition which guarantees its discreteness in the compact-open topology... 
Teichmüller space | Polycyclic | Discrete | Quasiconformal mapping class group | discrete | MATHEMATICS | polycyclic | Teichmuller space | DIMENSIONAL TEICHMULLER-SPACES | quasiconformal mapping class group
Journal Article
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