Found 1,216 Documents (Results 1–100)
On the univalence of certain polyharmonic mappings with bounded length distortions. (English) Zbl 07930607
Confirming Brennan’s conjecture numerically on a counterexample to Thurston’s \(K=2\) conjecture. (English) Zbl 07921117
MSC:
30C62
Kleinian groups and geometric function theory. (English) Zbl 07918554
Ohshika, Ken’ichi (ed.) et al., In the tradition of Thurston III. Geometry and dynamics. Cham: Springer. 249-274 (2024).
Convergent authalic energy minimization for disk area-preserving parameterizations. (English) Zbl 07900961
Semicontinuity under convergence of homeomorphisms in \(L_{1,\operatorname{loc}}\) of the operator distortion function. (English. Russian original) Zbl 07883886
Sib. Math. J. 65, No. 4, 737-750 (2024); translation from Sib. Mat. Zh. 65, No. 4, 605-621 (2024).
MSC:
30C65
Global smoothness of quasiconformal mappings in the Triebel-Lizorkin scale. (English. French summary) Zbl 07860066
A deep learning framework for diffeomorphic mapping problems via quasi-conformal geometry applied to imaging. (English) Zbl 1539.68295
Topological properties of mappings with finite distortion on Carnot groups. (English. Russian original) Zbl 1535.30056
Sib. Math. J. 65, No. 1, 48-61 (2024); translation from Sib. Mat. Zh. 65, No. 1, 57-73 (2024).
MSC:
30C65
Estimate on the Bloch constant for certain harmonic mappings under a differential operator. (English) Zbl 1538.30109
Weakly quasisymmetric mappings and uniform domains on generalized Grushin planes. (English) Zbl 1526.30026
Quasiconformal extensions and inner radius of univalence by pre-Schwarzian derivatives of analytic and harmonic mappings. (English) Zbl 07839505
On boundary discreteness of mappings with a modulus condition. (English) Zbl 07773813
Reviewer: Matti Vuorinen (Turku)
Riesz conjugate functions theorem for harmonic quasiconformal mappings. (English) Zbl 1535.30132
Reviewer: Evgeny Sevost’yanov (Zhitomir)
Asymptotics of the exterior conformal modulus of a quadrilateral under stretching map. (English. Russian original) Zbl 1527.30019
Russ. Math. 67, No. 5, 66-71 (2023); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2023, No. 5, 89-95 (2023).
MSC:
30C62
The Heinz type inequality, Bloch type theorem and Lipschitz characteristic of polyharmonic mappings. (English) Zbl 1526.35141
Strongly symmetric homeomorphisms on the real line with uniform continuity. (English) Zbl 1526.30027
Continuity of the mappings with finite distortion of the Sobolev class \(W^1_{\nu,\operatorname{loc}}\) on Carnot groups. (English. Russian original) Zbl 1523.30074
Sib. Math. J. 64, No. 5, 1091-1109 (2023); translation from Sib. Mat. Zh. 64, No. 5, 912-934 (2023).
Equilibrium droplet shapes and almost global semi-geodesic parametrization of surfaces. (English) Zbl 1521.53006
Asymptotics of the exterior conformal modulus of a symmetric quadrilateral under stretching map. (English) Zbl 1521.30026
MSC:
30C62
Homogenization of random quasiconformal mappings and random Delauney triangulations. (English) Zbl 1521.30029
Reviewer: Marja Kankaanrinta (Helsinki)
On Beltrami equations with inverse conditions and hydrodynamic normalization. (English) Zbl 1538.30097
Reviewer: Martin Chuaqui Farrú (Santiago de Chile)
Bi-Sobolev extensions. (English) Zbl 1529.46027
Polyhedral approximation of metric surfaces and applications to uniformization. (English) Zbl 1519.53034
Reviewer: Dmitri V. Prokhorov (Saratov)
On mappings of finite distortion that are quasiconformal in the unit disk. (English) Zbl 1521.30027
Reviewer: Dmitri V. Prokhorov (Saratov)
MSC:
30C62
On the inverse Poletsky inequality in metric spaces and prime ends. (English) Zbl 1524.30120
Reviewer: Dimitrios Betsakos (Thessaloniki)
Ahlfors-Weill extensions for harmonic mappings. (English) Zbl 1515.31003
MSC:
31A05
Quasiconformal extensions of biharmonic mappings and strongly starlike biharmonic mappings. (English) Zbl 1516.31002
Composition operators on the Bergman space with quasiconformal symbols. (English) Zbl 07658957
Reviewer: Mostafa Hassanlou (Urmia)
MSC:
47B37
Möbius metric in sector domains. (English) Zbl 07655764
Quasiregular curves of small distortion in product manifolds. (English) Zbl 1508.30046
Reviewer: Dmitri V. Prokhorov (Saratov)
Coincidence of set functions in quasiconformal analysis. (English. Russian original) Zbl 1523.30035
Sb. Math. 213, No. 9, 1157-1186 (2022); translation from Mat. Sb. 213, No. 9, 3-33 (2022).
On proper branched coverings and a question of Vuorinen. (English) Zbl 1528.57019
Reviewer: Samyon R. Nasyrov (Kazan)
Teichmüller’s problem for Gromov hyperbolic domains. (English) Zbl 1522.30010
Reviewer: Árpád Baricz (Cluj-Napoca)
Asymptotics of the conformal modulus of a nonsymmetric unbounded doubly-connected domain under stretching. (English) Zbl 1509.30012
MSC:
30C62
Lipschitz property of harmonic mappings with respect to pseudo-hyperbolic metric. (English) Zbl 1524.30118
Reviewer: Olli Martio (Helsinki)
Koebe type theorems and pre-Schwarzian of harmonic \(K\)-quasiconformal mappings, and their applications. (English) Zbl 1504.31005
Integrable Teichmüller space. (English) Zbl 1503.30052
Examples of steady axisymmetric flows of an ideal incompressible fluid. (English. Russian original) Zbl 1501.76007
Fluid Dyn. 57, No. 2, 111-121 (2022); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 2022, No. 2, 3-13 (2022).
Hölder continuity of hyperbolic Poisson integral and hyperbolic Green integral. (English) Zbl 1504.31011
Rigidity of Newton dynamics. (English) Zbl 1508.30050
Reviewer: Marco Abate (Pisa)
Lipschitz regularity of energy-minimal mappings between doubly connected Riemann surfaces. (English) Zbl 1501.30014
There are no exotic ladder surfaces. (English) Zbl 1527.30030
Reviewer: Dimitrios Ntalampekos (Stony Brook)
Correction to: “On mappings with the inverse Poletsky inequality in metric spaces”. (English) Zbl 1513.30112
On mappings with the inverse Poletsky inequality in metric spaces. (English) Zbl 1513.30111
Acta Math. Hung. 166, No. 2, 453-479 (2022); correction ibid. 166, No. 2, 480 (2022).
Reviewer: Yusuf Avci (İstanbul)
Inverse function theorem on the class of holomorphic self-maps of a disc with two fixed points. (English. Russian original) Zbl 1492.30025
Russ. Math. Surv. 77, No. 1, 177-179 (2022); translation from Usp. Mat. Nauk 77, No. 1, 187-188 (2022).
Bi-Lipschitz continuity of quasiconformal solutions to a biharmonic Dirichlet-Neumann problem in the unit disk. (English) Zbl 1486.31009
Koebe and Caratheódory type boundary behavior results for harmonic mappings. (English) Zbl 1486.31002
Corrigendum to: “Weil-Petersson Teichmüller space. II: Smoothness of flow curves of \(H^{\frac{3}{2}}\)-vector fields”. (English) Zbl 1486.30068
VMO-Teichmüller space on the real line. (English) Zbl 1482.30057
Reviewer: Jayadev Athreya (Seattle)
Two problems on homogenization in geometry. (English) Zbl 1503.30059
Abakumov, Evgeny (ed.) et al., Extended abstracts fall 2019. Spaces of analytic functions: approximation, interpolation, sampling, SAFAIS 2019 program, Centre de Recerca Matemàtica, Barcelona, Spain, October–December 2019. Cham: Birkhäuser. Trends Math., Res. Perspect. CRM Barc. 12, 99-103 (2021).
Precise values of the Bloch constants of certain log-\(p\)-harmonic mappings. (English) Zbl 1513.30118
Approximate properties of the \(p\)-Bieberbach polynomials in regions with simultaneously exterior and interior zero angles. (English) Zbl 1483.30031
On quasisymmetric mappings between ultrametric spaces. (English) Zbl 1485.54032
Reviewer: Thomas Zürcher (Katowice)
On the equivalence of two approaches to problems of quasiconformal analysis. (English. Russian original) Zbl 1482.30065
Sib. Math. J. 62, No. 6, 1010-1025 (2021); translation from Sib. Mat. Zh. 62, No. 2, 1252-1270 (2021).
MSC:
30C65
Uniformization with infinitesimally metric measures. (English) Zbl 1485.30019
Reviewer: Yaxiang Li (Changsha)
Remarks on “‘Norm estimates of the partial derivatives for harmonic mappings and harmonic quasiregular mappings”. (English) Zbl 1476.30086
Quasiconformality and hyperbolic skew. (English) Zbl 1485.30010
Reviewer: Yaxiang Li (Changsha)
On geometrical properties of continuous mappings which preserve orientation of simplices. (Russian. English summary) Zbl 1480.26009
Quasi-symmetric mappings and their generalizations on Riemannian manifolds. (English. Russian original) Zbl 1476.30092
J. Math. Sci., New York 258, No. 3, 265-275 (2021); translation from Ukr. Mat. Visn. 18, No. 2, 145-159 (2021).
On the geometric definition of quasiconformality. (English. Russian original) Zbl 1476.30085
Sib. Math. J. 62, No. 5, 782-795 (2021); translation from Sib. Mat. Zh. 62, No. 5, 965-982 (2021).
MSC:
30C62
Criteria for univalency and quasiconformal extension for harmonic mappings. (English) Zbl 1475.30048
Infinitesimally small spheres and conformally invariant metrics. (English) Zbl 1476.30106
Reviewer: Dimitrios Betsakos (Thessaloniki)
Norm estimates of the partial derivatives for harmonic mappings and harmonic quasiregular mappings. (English) Zbl 1469.31003
On asymptotically sharp bi-Lipschitz inequalities of quasiconformal mappings satisfying inhomogeneous polyharmonic equations. (English) Zbl 1462.30043
On locally quasiconformal Teichmüller spaces. (English) Zbl 1473.30014
Reviewer: Athanase Papadopoulos (Strasbourg)
Spiders’ webs of doughnuts. (English) Zbl 1462.37055
Multivalued quasimöbius mappings from circle to circle. (English. Russian original) Zbl 1456.30040
Sib. Math. J. 62, No. 1, 14-22 (2021); translation from Sib. Mat. Zh. 62, No. 1, 19-30 (2021).
MSC:
30C62
Area distortion under the Beurling-Ahlfors extension of monomials. (English) Zbl 07845146
MSC:
30C62
The extremal problem of combined energy between rectangles. (Chinese. English summary) Zbl 1474.30171
MSC:
30C75
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