142
Views
0
CrossRef citations to date
0
Altmetric
Articles

Univalent functions and Dirichlet-Morrey spaces

, , &
Pages 1580-1590 | Received 30 Jan 2020, Accepted 29 Apr 2020, Published online: 24 May 2020

References

  • Galanopoulos P, Merchán N, Siskakis AG. A family of Dirichlet–Morrey spaces. Complex Var Elli Equ. 2019;64(10):1686–1702. doi: 10.1080/17476933.2018.1549036
  • Liu J, Lou Z. Carleson measure for analytic Morrey spaces. Nonlinear Anal. 2015;125:423–432. doi: 10.1016/j.na.2015.05.016
  • Liu J, Lou Z. Properties of analytic Morrey spaces and applications. Math Nachr. 2015;288:1673–1693. doi: 10.1002/mana.201300301
  • Wang J. The Carleson measure problem between analytic Morrey spaces. Can Math Bull. 2016;59(4):878–890. doi: 10.4153/CMB-2016-013-9
  • Wang J, Xiao J. Analytic Campanato spaces by functionals and operators. J Geom Anal. 2016;26:2996–3018. doi: 10.1007/s12220-015-9658-7
  • Wang J, Xiao J. Holomorphic Campanato spaces on the unit ball. Math Nachr. 2017;290:930–954. doi: 10.1002/mana.201600115
  • Wu ZJ, Xie C. Q spaces and Morrey spaces. J Funct Anal. 2003;201:282–297. doi: 10.1016/S0022-1236(03)00020-X
  • Wulan H, Zhou J. QK and Morrey type spaces. Ann Acad Sci Fenn Math. 2013;38:193–207. doi: 10.5186/aasfm.2013.3801
  • Xiao J, Xu W. Composition operators between analytic Campanato spaces. J Geom Anal. 2014;24:649–666. doi: 10.1007/s12220-012-9349-6
  • Xiao J, Yuan C. Analytic Campanato spaces and their compositions. Indiana Univ Math J. 2015;64:1001–1025. doi: 10.1512/iumj.2015.64.5575
  • Wulan H, Ye F. Universal Teichmöller space and QK spaces. Ann Acad Sci Fenn Math. 2014;39:691–709. doi: 10.5186/aasfm.2014.3951
  • Xiao J Geometric Q functions. Basel: Birkhäuser; 2006. (Frontiers in mathematics).
  • Garnett J, Marshall D Harmonic measure. Cambridge: Cambridge University Press; 2005. (New mathematical monographs; vol. 2).
  • Astala K, Zinsmeister M. Teichmüller spaces and BMOA. Math Ann. 1991;289:613–625. doi: 10.1007/BF01446592
  • Cui G. Integrably asymptotic affine homeomorphisms of the circle and Teichmöller spaces. Sci China Ser A. 2000;43:267–279. doi: 10.1007/BF02897849
  • Feng X, Huo S, Tang S. Universal Teichmüller spaces and F(p,q,s). Ann Acad Sci Fenn Math. 2017;42:105–118. doi: 10.5186/aasfm.2017.4208
  • Pérez-González F, Rättyä J. Dirichlet and VMOA domains via Schwarzian derivative. J Math Anal Appl. 2009;359:543–546. doi: 10.1016/j.jmaa.2009.06.023
  • Guo H. Integrable Teichmöller spaces. Sci China Ser A. 2000;43:47–58. doi: 10.1007/BF02903847
  • Pau J, Peláez J. Logarithms of the derivative of univalent functions in Qp spaces. J Math Anal Appl. 2009;350:184–194. doi: 10.1016/j.jmaa.2008.09.038
  • Zhou J. Schwarzian derivative, geometric conditions and QK spaces. Sci Sin Math (in Chinese). 2012;42:939–950. doi: 10.1360/012011-765
  • Zorboska N. Schwarzian derivative and general Besov-type domains. J Math Anal Appl. 2011;379:48–57. doi: 10.1016/j.jmaa.2010.12.022
  • Ahlfors LV. Lecture on quasiconformal mappings. Princeton: D Van Nostrand; 1966.
  • Hu Y, Shen Y. On quasisymmetric homeomorphisms. Israel J Math. 2012;191:209–226. doi: 10.1007/s11856-011-0204-4
  • Letho O. Univalent functions and Teichmüller spaces. Berlin: Springer; 2012.
  • Jin J, Tang S. Some characterizations of analytic Morrey domain. Acta Math Sin. (in Chinese), in press.
  • Shen Y, Wei H. Universal Teichmüller space and BMO. Adv Math. 2013;234:129–148. doi: 10.1016/j.aim.2012.10.017
  • Zhao R. Distances from Bloch functions to some Möbius invariant spaces. Ann Acad Sci Fenn Math. 2008;33:303–313.
  • Pommerenke Ch.. Boundary behaviour of conformal maps. Berlin: Springer-Verlag; 1992.
  • Becker J, Pommerenke C. Uber die quasikonforme Fortsetzung schlichter Funktionen. Math Z. 1978;161:69–80. doi: 10.1007/BF01175613
  • Douady A, Earle C. Conformally natural extension of homeomorphisms of the circle. Acta Math. 1986;157:23–48. doi: 10.1007/BF02392590

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.