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数学学报:英文版, ISSN 1439-8516, 2014, Volume 30, Issue 3, pp. 499 - 504
For a rectifable Jordan curve Γ with complementary domainsD and D,Anderson conjectured that the Faber operator is a bounded isomorphism between the Besov... 
操作 | 安德森 | 注记 | | Besov空间 | 解析函数 | 嘉华 | Jordan曲线 | Grunsky operator | 46E15 | Faber operator | 30E10 | 47B38 | Mathematics, general | Mathematics | quasi-circle | Besov space | Hilbert operator | MATHEMATICS | MATHEMATICS, APPLIED | SETS
Journal Article
Complex Analysis and Operator Theory, ISSN 1661-8254, 2/2018, Volume 12, Issue 2, pp. 325 - 354
Let $$\Gamma $$ Γ be a bounded Jordan curve with complementary components $$\Omega ^{\pm }$$ Ω± . We show that the jump decomposition is an isomorphism if and... 
Bergman space | Grunsky operator | Quasicircles | 30C62 | Dirichlet space | Primary 30F15 | Mathematics | Secondary 30C55 | 31C25 | Quasiconformal extension | 31C05 | Operator Theory | Jump decomposition | Faber polynomials | 35Q15 | Analysis | Mathematics, general | Schiffer operator | MATHEMATICS | MATHEMATICS, APPLIED | Naturvetenskap | Natural Sciences
Journal Article
Constructive Approximation, ISSN 0176-4276, 4/2018, Volume 47, Issue 2, pp. 211 - 235
By exploiting a link between Bergman orthogonal polynomials and the Grunsky matrix, probably first observed by Kühnau (Ann Acad Sci Math 10:313–329, 1985), we... 
30C10 | Bergman orthogonal polynomials | Bergman shift | 30E10 | 30C62 | Grunsky matrix | Mathematics | Faber polynomials | Conformal mapping | Numerical Analysis | Analysis | 41A10 | 65E05 | Quasiconformal mapping | MATHEMATICS | OPERATOR | ASYMPTOTICS | DOMAINS
Journal Article
Complex Variables and Elliptic Equations: Complex Analysis and Potential Theory, in memory of Promarz M. Tamrazov, ISSN 1747-6933, 01/2014, Volume 59, Issue 1, pp. 48 - 58
We establish the underlying quasiconformal features of the generalized Grunsky coefficients and provide their applications to qualitative and quantitative... 
Grunsky operator | quadratic differential | complex homotopy | quasiconformal extension | Primary: 30C15 | Secondary: 30F60 | univalent function | MATHEMATICS | INEQUALITIES | COEFFICIENT CONDITIONS | GEOMETRY | Complex variables
Journal Article
Complex Analysis and Operator Theory, ISSN 1661-8254, 12/2009, Volume 3, Issue 4, pp. 835 - 846
Journal Article
Acta Mathematica Sinica, English Series, ISSN 1439-8516, 4/2014, Volume 30, Issue 4, pp. 591 - 600
Being a Strebel point gives a sufficient condition for that the extremal Beltrami coefficient is uniquely determined in a Teichmüller equivalence class. We... 
Mathematics, general | Mathematics | Quasiconformal mappings | Strebel points | Grunsky inequalities | 30F60 | MATHEMATICS | MATHEMATICS, APPLIED | INEQUALITIES | Studies | Theorems | Applied mathematics | matmod
Journal Article
Complex Analysis and Operator Theory, ISSN 1661-8254, 10/2017, Volume 11, Issue 7, pp. 1491 - 1501
One of the long-standing problems in the quasiconformal theory is finding sharp distortion bounds for k-quasiconformal maps for arbitrary $$k <1$$ k < 1 . We... 
30C75 | 30F60 | 30C62 | Infinite dimensional holomorphy | Complex geodesic | Mathematics | 32F45 | Variational problem | Functional | Secondary: 30F45 | Operator Theory | Primary: 30C55 | Invariant metrics | 46G20 | Analysis | Univalent | Mathematics, general | Teichmüller space | Grunsky inequalities | Quasiconformal | MATHEMATICS, APPLIED | MATHEMATICS | Teichmuller space | COEFFICIENT | MAPPINGS
Journal Article
Complex Analysis and Operator Theory, ISSN 1661-8254, 12/2015, Volume 9, Issue 8, pp. 1663 - 1679
Tietz defined a generalization of Faber polynomials for conformal maps into a compact Riemann surface, which we will call the Faber–Tietz functions. We give a... 
30B99 | Riemann surfaces | 30C55 | 30F30 | Faber series | Mathematics | Cauchy differential | 30C35 | Operator Theory | Faber polynomials | Analysis | Mathematics, general | Elliptic functions | Grunsky inequalities | MATHEMATICS | MATHEMATICS, APPLIED
Journal Article
Science in China Series A: Mathematics, ISSN 1006-9283, 12/2007, Volume 50, Issue 12, pp. 1805 - 1817
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 09/2018, Volume 465, Issue 1, pp. 658 - 672
This paper deals with the p-integrable Teichmüller space and gives an intrinsic characterization of a p-integrable asymptotic affine homeomorphism for p>2.... 
Quasi-symmetric homeomorphism | Universal Teichmüller space | Quasiconformal mapping | p-integrable Teichmüller space | Besov space | WEIL-PETERSSON | MATHEMATICS, APPLIED | BMO | Universal Teichmuller space | EXTENSION | GRUNSKY OPERATOR | CIRCLE | QUASI-SYMMETRIC HOMEOMORPHISMS | MATHEMATICS | CONTRACTIBILITY | p-integrable Teichmuller space | EQUATION
Journal Article
中国科学:数学英文版, ISSN 1674-7283, 2009, Issue 10, pp. 2121 - 2131
We obtain some convergence properties concerning Faber polynomials and apply them to studying univalent functions with quasiconformal extensions. In... 
univalent | mapping | quasiconformal | polynomial | function | Grunsky | Faber | operator
Journal Article
2020, Volume 22, Issue 3
Consider a multiply-connected domain Sigma in the sphere bounded by n non-intersecting quasicircles. We characterize the Dirichlet space of Sigma as an... 
Grunsky operator | Faber operator | Naturvetenskap | Matematisk analys | Faber series | quasicircles | Dirichlet spaces | Mathematics | Natural Sciences | Matematik | Mathematical Analysis | multiply-connected domains
Publication
MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, ISSN 0065-9266, 09/2006, Volume 183, Issue 861, pp. 1 - 1
Journal Article
Science in China, Series A: Mathematics, ISSN 1006-9283, 10/2009, Volume 52, Issue 10, pp. 2121 - 2131
We obtain some convergence properties concerning Faber polynomials and apply them to studying univalent functions with quasiconformal extensions. In... 
Grunsky operator | Univalent function | Faber polynomial | Quasiconformal mapping | MATHEMATICS | quasiconformal mapping | univalent function
Journal Article
Complex Variables, Theory and Application: An International Journal, ISSN 0278-1077, 08/1997, Volume 33, Issue 1-4, pp. 113 - 127
We investigate some coefficient properties of univalent functions related to their Grunsky operators and quasiconformal extendibility. We find some bounds of... 
AMS No. 30C55 | Coefficient bounds | AMS No. 30C75 | Quasiconformally extendible univalent functions | The Grunsky operator | AMS No. 30C50
Journal Article
Complex Variables, Theory and Application: An International Journal, ISSN 0278-1077, 10/2000, Volume 42, Issue 4, pp. 289 - 307
This paper deals with the pull-back operator on the real-valued harmonic Dirichlet space by a quasisymmetric function. A new metric on Teichmüller spaces is... 
Teichmüller space | harmonic function | Quasisymmetric function | Fredholm eigenvalue | Grunsky functional
Journal Article
Annales Academiae Scientiarum Fennicae Mathematica, ISSN 1239-629X, 2008, Volume 33, Issue 2, pp. 585 - 596
In recent work with Baranov, it was explained how to view the classical Grunsky inequalities in terms of an operator identity, involving a transferred Beurling... 
Grunsky inequalities | Beurling transform | MATHEMATICS
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 05/1999, Volume 105, Issue 1-2, pp. 311 - 315
We show that the norm of the Grunsky operator generated by a univalent function does not decrease with a pth root transformation, p≥2. The result is sharp for... 
30C45 | 30C70 | The Grunsky norm P th root transformation | 30C35 | Univalent functions
Journal Article
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