On the means of quasiregular and quasiconformal mappings
HTML articles powered by AMS MathViewer
- by David Jerison and Allen Weitsman PDF
- Proc. Amer. Math. Soc. 83 (1981), 304-306 Request permission
Abstract:
Two theorems are given regarding the means of quasiconformal and quasiregular mappings. Together they show that the principle of subordination for means of analytic functions has no analog, at least in the case of plane quasiregular mappings.References
- A. Beurling and L. Ahlfors, The boundary correspondence under quasiconformal mappings, Acta Math. 96 (1956), 125–142. MR 86869, DOI 10.1007/BF02392360
- Peter L. Duren, Theory of $H^{p}$ spaces, Pure and Applied Mathematics, Vol. 38, Academic Press, New York-London, 1970. MR 0268655
- Ruth Miniowitz, Distortion theorems for quasiregular mappings, Ann. Acad. Sci. Fenn. Ser. A I Math. 4 (1979), no. 1, 63–74. MR 538089, DOI 10.5186/aasfm.1978-79.0415 J. Väisälä, Lectures on $n$-dimensional quasiconformal mappings, Lecture Notes in Math., vol. 229, Springer-Verlag, Berlin and New York, 1971. —, A survey of quasiregular maps in ${{\mathbf {R}}^n}$, Proc. Internat. Congr. Math., Helsinki (1978), pp. 685-691.
Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 83 (1981), 304-306
- MSC: Primary 30C60; Secondary 30C75
- DOI: https://doi.org/10.1090/S0002-9939-1981-0624919-X
- MathSciNet review: 624919