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The conjugate Beltrami equation with coefficient in Morrey spaces

  • Autores: Antonio Luis Baisón Olmo, Víctor Alberto Cruz Barriguete Árbol académico
  • Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 71, Fasc. 1, 2020, págs. 93-102
  • Idioma: inglés
  • DOI: 10.1007/s13348-019-00249-2
  • Texto completo no disponible (Saber más ...)
  • Resumen
    • In this paper we study the distributional (and quasiregular) solutions of the conjugated Beltrami equation when the coefficient has distributional partial derivatives in Morrey spaces. In this sense, we show that the solutions have second partial derivatives in other Morrey spaces.

  • Referencias bibliográficas
    • Astala, K., Iwaniec, T., Martin, G.: Elliptic Equations and Quasiconformal Mappings in the Plane. Princeton Mathematical Series, vol. 47....
    • Astala, K., Iwaniec, T., Saksman, E.: Beltrami operators in the plane. Duke Math. J. 107(1), 27–56 (2001)
    • Clop, A., Cruz, V.: Weighted estimates for Beltrami equations. Ann. Acad. Sci. Fenn. Math. 38(1), 91–113 (2013)
    • Clop, A., Faraco, D., Mateu, J., Orobitg, J., Zhong, X.: Beltrami equations with coefficient in the Sobolev Space W^{1, p}. Publ. Mat. 53,...
    • Cruz, V., Mateu, J., Orobitg, J.: Beltrami equation with coefficient in Sobolev and Besov spaces. Can. J. Math. 65, 1217–1235 (2013)
    • Iwaniec, T.: L^p-theory of quasiregular mappings. In: Quasiconformal Space Mappings, Volume 1508 of Lecture Notes in Mathematics, pp. 39–64....
    • Koski, A.: Singular integrals and Beltrami type operators in the plane and beyond. Master Thesis, Department of Mathematics, University of...
    • Petermichl, S., Volberg, A.: Heating of the Ahlfors-Beurling operator: weakly quasiregular maps on the plane are quasiregular. Duke Math....

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