Lehrbäck, Juha; Shanmugalingam, Nageswari Potential theory and quasisymmetric maps between compact Ahlfors regular metric measure spaces via Besov functions: preliminary. (English) Zbl 07815284 Pure Appl. Funct. Anal. 9, No. 1, 231-249 (2024). MSC: 30L10 30L15 46E36 31E05 PDFBibTeX XMLCite \textit{J. Lehrbäck} and \textit{N. Shanmugalingam}, Pure Appl. Funct. Anal. 9, No. 1, 231--249 (2024; Zbl 07815284) Full Text: arXiv Link
Fuhrer, Aidan; Ransford, Thomas; Younsi, Malik Holomorphic motions, dimension, area and quasiconformal mappings. (English. French summary) Zbl 07731008 J. Math. Pures Appl. (9) 177, 455-483 (2023). Reviewer: Ioannis D. Platis (Heraklion) MSC: 37F44 37F31 37F35 30C62 31A05 PDFBibTeX XMLCite \textit{A. Fuhrer} et al., J. Math. Pures Appl. (9) 177, 455--483 (2023; Zbl 07731008) Full Text: DOI arXiv
Zhong, D.; Yuan, W. Hyperbolically Lipschitz continuity, area distortion, and coefficient estimates for \((K, K')\)-quasiconformal harmonic mappings of the unit disk. (English) Zbl 1476.30091 Ukr. Math. J. 73, No. 2, 171-180 (2021) and Ukr. Mat. Zh. 73, No. 2, 151-159 (2021). MSC: 30C62 31A05 PDFBibTeX XMLCite \textit{D. Zhong} and \textit{W. Yuan}, Ukr. Math. J. 73, No. 2, 171--180 (2021; Zbl 1476.30091) Full Text: DOI
Mateljević, Miodrag; Svetlik, Marek Hyperbolic metric on the strip and the Schwarz lemma for HQR mappings. (English) Zbl 1474.30178 Appl. Anal. Discrete Math. 14, No. 1, 150-168 (2020). MSC: 30C80 31C05 30C75 PDFBibTeX XMLCite \textit{M. Mateljević} and \textit{M. Svetlik}, Appl. Anal. Discrete Math. 14, No. 1, 150--168 (2020; Zbl 1474.30178) Full Text: DOI arXiv
Ransford, Thomas; Younsi, Malik; Ai, Wen-hui Continuity of capacity of a holomorphic motion. (English) Zbl 1451.30051 Adv. Math. 374, Article ID 107376, 15 p. (2020). Reviewer: Dmitri V. Prokhorov (Saratov) MSC: 30C85 30C62 31A15 37F44 PDFBibTeX XMLCite \textit{T. Ransford} et al., Adv. Math. 374, Article ID 107376, 15 p. (2020; Zbl 1451.30051) Full Text: DOI arXiv
Kalaj, David Superharmonicity of logarithm of Jacobian of harmonic mappings between surfaces. (English) Zbl 1499.30207 Filomat 33, No. 7, 1979-1983 (2019). MSC: 30C62 35J60 31A05 58E20 PDFBibTeX XMLCite \textit{D. Kalaj}, Filomat 33, No. 7, 1979--1983 (2019; Zbl 1499.30207) Full Text: DOI arXiv
Katzourakis, Nikos Corrigendum to: “Nonuniqueness in vector-valued calculus of variations in \(L^\infty\) and some linear elliptic systems”. (English) Zbl 1415.31005 Commun. Pure Appl. Anal. 18, No. 4, 2197-2198 (2019). MSC: 31C45 35J47 30C65 PDFBibTeX XMLCite \textit{N. Katzourakis}, Commun. Pure Appl. Anal. 18, No. 4, 2197--2198 (2019; Zbl 1415.31005) Full Text: DOI
Bezrodnykh, S. I.; Vlasov, V. I. Singular behavior of harmonic maps near corners. (English) Zbl 1417.31001 Complex Var. Elliptic Equ. 64, No. 5, 838-851 (2019). MSC: 31A05 30C62 35J25 PDFBibTeX XMLCite \textit{S. I. Bezrodnykh} and \textit{V. I. Vlasov}, Complex Var. Elliptic Equ. 64, No. 5, 838--851 (2019; Zbl 1417.31001) Full Text: DOI arXiv
Levitskii, B. E. Reduced \(p\)-modulus, \(p\)-harmonic radius and \(p\)-harmonic Green’s mappings. (English) Zbl 1428.31008 Probl. Anal. Issues Anal. 7(25), No. 2, 82-97 (2018). MSC: 31B15 30C65 58E20 PDFBibTeX XMLCite \textit{B. E. Levitskii}, Probl. Anal. Issues Anal. 7(25), No. 2, 82--97 (2018; Zbl 1428.31008) Full Text: DOI MNR
Kalaj, David Radó-Kneser-Choquet theorem for harmonic mappings between surfaces. (English) Zbl 1380.30016 Calc. Var. Partial Differ. Equ. 56, No. 1, Paper No. 4, 12 p. (2017). Reviewer: Yuliang Shen (Suzhou) MSC: 30C62 31A05 58E20 PDFBibTeX XMLCite \textit{D. Kalaj}, Calc. Var. Partial Differ. Equ. 56, No. 1, Paper No. 4, 12 p. (2017; Zbl 1380.30016) Full Text: DOI
Zhu, Jian-Feng; Kalaj, David Quasiconformal harmonic mappings and the curvature of the boundary. (English) Zbl 1355.31001 J. Math. Anal. Appl. 446, No. 2, 1154-1166 (2017). Reviewer: Igor Chyzhykov (Lviv) MSC: 31A05 30C62 PDFBibTeX XMLCite \textit{J.-F. Zhu} and \textit{D. Kalaj}, J. Math. Anal. Appl. 446, No. 2, 1154--1166 (2017; Zbl 1355.31001) Full Text: DOI
Arbeláez, Hugo; Chuaqui, Martin; Sierra, Willy Uniform domains on holomorphic curves. (English) Zbl 1329.30013 Complex Var. Elliptic Equ. 60, No. 7, 1015-1031 (2015). Reviewer: Dov Aharonov (Haifa) MSC: 30C99 30C55 30C62 31A05 PDFBibTeX XMLCite \textit{H. Arbeláez} et al., Complex Var. Elliptic Equ. 60, No. 7, 1015--1031 (2015; Zbl 1329.30013) Full Text: DOI
Katzourakis, Nikos Nonuniqueness in vector-valued calculus of variations in \(L^\infty\) and some linear elliptic systems. (English) Zbl 1316.31017 Commun. Pure Appl. Anal. 14, No. 1, 313-327 (2015); corrigendum ibid. 18, No. 4, 2197-2198 (2019). MSC: 31C45 35J47 30C65 PDFBibTeX XMLCite \textit{N. Katzourakis}, Commun. Pure Appl. Anal. 14, No. 1, 313--327 (2015; Zbl 1316.31017) Full Text: DOI arXiv
Tolsa, Xavier; Uriarte-Tuero, Ignacio Quasiconformal maps, analytic capacity, and non linear potentials. (English) Zbl 1295.30052 Duke Math. J. 162, No. 8, 1503-1566 (2013). Reviewer: Stamatis Pouliasis (Quebec) MSC: 30C62 31A15 PDFBibTeX XMLCite \textit{X. Tolsa} and \textit{I. Uriarte-Tuero}, Duke Math. J. 162, No. 8, 1503--1566 (2013; Zbl 1295.30052) Full Text: DOI arXiv Euclid
Arcozzi, Nicola; Rochberg, Richard Invariance of capacity under quasisymmetric maps of the circle: an easy proof. (English) Zbl 1266.31002 Picardello, Massimo A. (ed.), Trends in harmonic analysis. Selected papers of the conference on harmonic analysis, Rome, Italy, May 30–June 4, 2011. Berlin: Springer (ISBN 978-88-470-2852-4/hbk; 978-88-470-2853-1/ebook). Springer INdAM Series 3, 27-32 (2013). MSC: 31A15 31C20 PDFBibTeX XMLCite \textit{N. Arcozzi} and \textit{R. Rochberg}, Springer INdAM Ser. 3, 27--32 (2013; Zbl 1266.31002) Full Text: DOI
Kalaj, D.; Mateljević, M. On quasiconformal harmonic surfaces with rectifiable boundary. (English) Zbl 1279.30036 Complex Anal. Oper. Theory 5, No. 3, 633-646 (2011). MSC: 30C65 31B05 PDFBibTeX XMLCite \textit{D. Kalaj} and \textit{M. Mateljević}, Complex Anal. Oper. Theory 5, No. 3, 633--646 (2011; Zbl 1279.30036) Full Text: DOI
Kalaj, David On quasiregular mappings between smooth Jordan domains. (English) Zbl 1206.30036 J. Math. Anal. Appl. 362, No. 1, 58-63 (2010). Reviewer: Martin Chuaqui (Santiago de Chile) MSC: 30C62 31A05 PDFBibTeX XMLCite \textit{D. Kalaj}, J. Math. Anal. Appl. 362, No. 1, 58--63 (2010; Zbl 1206.30036) Full Text: DOI
Graf, S. Yu. A sharp estimate for the Jacobian in linear- and affine-invariant families of harmonic mappings. (Russian. English summary) Zbl 1189.30018 Tr. Petrozavodsk. Gos. Univ., Ser. Mat. 14, 31-38 (2007). MSC: 30C45 30C62 31A05 PDFBibTeX XMLCite \textit{S. Yu. Graf}, Tr. Petrozavodsk. Gos. Univ., Ser. Mat. 14, 31--38 (2007; Zbl 1189.30018)
Duren, Peter Harmonic mappings in the plane. (English) Zbl 1055.31001 Cambridge Tracts in Mathematics 156. Cambridge: Cambridge University Press (ISBN 0-521-64121-7/hbk). xii, 212 p. (2004). Reviewer: Matti Vuorinen (Turku) MSC: 31-02 53C43 58E20 30C35 31A05 30C45 PDFBibTeX XMLCite \textit{P. Duren}, Harmonic mappings in the plane. Cambridge: Cambridge University Press (2004; Zbl 1055.31001)
Golberg, Anatoly Distortion of \(p\)-moduli of separating sets under mappings with finite integral dilatations. (English) Zbl 1097.31002 Bull. Soc. Sci. Lett. Łódź 53, Sér. Rech. Déform. 40, 41-51 (2003). Reviewer: Matti Vuorinen (Turku) MSC: 31B15 30C65 PDFBibTeX XMLCite \textit{A. Golberg}, Bull. Soc. Sci. Lett. Łódź, Sér. Rech. Déform. 53(40), 41--51 (2003; Zbl 1097.31002)
Holopainen, Ilkka; Shanmugalingam, Nageswari; Tyson, Jeremy T. On the conformal Martin boundary of domains in metric spaces. (English) Zbl 1002.31006 Heinonen, J. (ed.) et al., Papers on analysis: a volume dedicated to Olli Martio on the occasion of his 60th birthday. Jyväskylä: Univ. Jyväskylä, Institut für Mathematik und Statistik. Ber., Univ. Jyväskylä. 83, 147-168 (2001). Reviewer: Matti Vuorinen (Helsinki) MSC: 31C35 30C65 PDFBibTeX XMLCite \textit{I. Holopainen} et al., in: Papers on analysis: a volume dedicated to Olli Martio on the occasion of his 60th birthday. Jyväskylä: Univ. Jyväskylä, Institut für Mathematik und Statistik. 147--168 (2001; Zbl 1002.31006)
Ferrand, Jacqueline Generalized condensers and conformal properties of Riemannian manifolds with at least two ends. (English) Zbl 0976.53040 Séminaire de théorie spectrale et géométrie. Année 1998-1999. St. Martin D’Hères: Université de Grenoble I, Institut Fourier, Sémin. Théor. Spectrale Géom., Chambéry-Grenoble. 17, 27-46 (1999). MSC: 53C20 30C70 31B15 53C43 PDFBibTeX XMLCite \textit{J. Ferrand}, in: Séminaire de théorie spectrale et géométrie. Année 1998--1999. St. Martin D'Hères: Université de Grenoble I, Institut Fourier. 27--46 (1999; Zbl 0976.53040) Full Text: EuDML
Krzyż, Jan G. Fuchsian groups isomorphism, conformally natural quasiconformal extension and harmonic mappings. (English) Zbl 1009.20061 Ann. Univ. Mariae Curie-Skłodowska, Sect. A 52, No. 1, 57-63 (1998). MSC: 20H10 30C62 30F35 31A05 PDFBibTeX XMLCite \textit{J. G. Krzyż}, Ann. Univ. Mariae Curie-Skłodowska, Sect. A 52, No. 1, 57--63 (1998; Zbl 1009.20061)
Laugesen, Richard Snyder Planar harmonic maps with inner and Blaschke dilatations. (English) Zbl 0892.30017 J. Lond. Math. Soc., II. Ser. 56, No. 1, 37-48 (1997). Reviewer: R.S.Laugesen (Ann Arbor) MSC: 30C62 31A05 53A10 PDFBibTeX XMLCite \textit{R. S. Laugesen}, J. Lond. Math. Soc., II. Ser. 56, No. 1, 37--48 (1997; Zbl 0892.30017) Full Text: DOI
Heinonen, Juha; Holopainen, Ilkka Quasiregular maps on Carnot groups. (English) Zbl 0905.30018 J. Geom. Anal. 7, No. 1, 109-148 (1997). Reviewer: K.Georgiev (Rostov-na-Donu) MSC: 30C65 31C45 58J05 PDFBibTeX XMLCite \textit{J. Heinonen} and \textit{I. Holopainen}, J. Geom. Anal. 7, No. 1, 109--148 (1997; Zbl 0905.30018) Full Text: DOI
Krzyż, J. G.; Partyka, D. Harmonic extensions of quasisymmetric mappings. (English) Zbl 0902.30015 Complex Variables, Theory Appl. 33, No. 1-4, 159-176 (1997). Reviewer: J.G.Krzyż (Lublin) MSC: 30C55 30C62 30C75 31A05 PDFBibTeX XMLCite \textit{J. G. Krzyż} and \textit{D. Partyka}, Complex Variables, Theory Appl. 33, No. 1--4, 159--176 (1997; Zbl 0902.30015) Full Text: DOI
Laugesen, Richard Snyder Injectivity can fail for higher-dimensional harmonic extensions. (English) Zbl 0871.54020 Complex Variables, Theory Appl. 28, No. 4, 357-369 (1996). Reviewer: R.S.Laugesen (Princeton) MSC: 54C20 31B05 30C65 PDFBibTeX XMLCite \textit{R. S. Laugesen}, Complex Variables, Theory Appl. 28, No. 4, 357--369 (1996; Zbl 0871.54020) Full Text: DOI
Cannon, J. W.; Floyd, W. J.; Parry, W. R. Squaring rectangles: The finite Riemann mapping theorem. (English) Zbl 0818.20043 Abikoff, William (ed.) et al., The mathematical legacy of Wilhelm Magnus. Groups, geometry and special functions. Conference on the legacy of Wilhelm Magnus, May 1-3, 1992, Polytechnic Univ. Brooklyn, NY, USA. Providence, RI: American Mathematical Society. Contemp. Math. 169, 133-212 (1994). Reviewer: A.Papadopoulos (Strasbourg) MSC: 20F65 30C62 31A15 94C99 57N10 30F10 52C20 PDFBibTeX XMLCite \textit{J. W. Cannon} et al., Contemp. Math. 169, 133--212 (1994; Zbl 0818.20043)
Shibata, Keiichi A free boundary problem in classical potential theory. Partially reprinted from the journal Potential Analysis 3, No. 1 (1994). (English) Zbl 0819.31002 Bertin, Emile, ICPT ’91. Proceedings from the international conference on potential theory, Amersfoort, The Netherlands, August 18-24, 1991. Dordrecht: Kluwer Academic Publishers. 267-276 (1994). Reviewer: M.Dont (Praha) MSC: 31A05 30C62 31A25 PDFBibTeX XMLCite \textit{K. Shibata}, in: ICPT '91. Proceedings from the international conference on potential theory, Amersfoort, The Netherlands, August 18-24, 1991. Dordrecht: Kluwer Academic Publishers. 267--276 (1994; Zbl 0819.31002)
Shibata, Keiichi On stationary points of the energy integral. (English) Zbl 0765.31002 Potential theory, Proc. Int. Conf., Nagoya/Jap. 1990, 291-297 (1992). Reviewer: Y.Avci (İstanbul) MSC: 31A10 30C62 58E20 53B20 PDFBibTeX XMLCite \textit{K. Shibata}, in: Potential theory. Proceedings of the international conference, Nagoya, Japan, August 30-September 4, 1990. Berlin etc.: de Gruyter. 291--297 (1992; Zbl 0765.31002)
Malyutina, A. N. On equivalence of the geometric and analytic definitions of a mapping with the bounded in mean distortion. (Russian) Zbl 0773.30016 Èkstremal’nye Zadachi Teor. Funkts. 8, 64-70 (1990). Reviewer: Petru Caraman (Iaşi) MSC: 30C65 31B15 26B30 PDFBibTeX XMLCite \textit{A. N. Malyutina}, Èkstremal'nye Zadachi Teor. Funkts. 8, 64--70 (1990; Zbl 0773.30016)
Wohlhauser, Alfred Raumwinkelkonforme Abbildungen. (English) Zbl 0537.30012 Complex analysis - Proc. 5th Rom.-Finn. Semin., Bucharest 1981, Part 1, Lect. Notes Math. 1013, 225-231 (1983). MSC: 30C62 31B15 PDFBibTeX XML
Lawrynowicz, Julian On biholomorphic continuability of regular quasiconformal mappings. (English) Zbl 0444.58003 Analytic functions, Proc. Conf., Kozubnik 1979, Lect. Notes Math. 798, 326-349 (1980). MSC: 58C10 32D05 30C62 31B15 58J70 PDFBibTeX XML
Klotz Milnor, Tilla Mapping surfaces harmonically into \(E^n\). (English) Zbl 0443.53003 Proc. Am. Math. Soc. 78, 269-275 (1980). MSC: 53A10 53A30 31A05 30C62 PDFBibTeX XMLCite \textit{T. Klotz Milnor}, Proc. Am. Math. Soc. 78, 269--275 (1980; Zbl 0443.53003) Full Text: DOI
Lawrynowicz, Julian; Skwarczynski, Maciej Conformal and biholomorphic invariants in the analysis on manifolds. (English) Zbl 0391.58006 Proc. 1st Finnish-Polish Summer Sch. Complex Anal., Podlesice 1977, Part 1, 35-113 (1978). MSC: 58C10 31-02 32-02 58J40 58J60 30C85 30C70 30C62 30C40 32A25 58J90 78A30 58-02 58E30 49Q99 32F45 PDFBibTeX XML