A distortion theorem for quasiconformal mappings

Michel Zinsmeister

Bulletin de la Société Mathématique de France (1986)

  • Volume: 114, page 123-133
  • ISSN: 0037-9484

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Zinsmeister, Michel. "A distortion theorem for quasiconformal mappings." Bulletin de la Société Mathématique de France 114 (1986): 123-133. <http://eudml.org/doc/87505>.

@article{Zinsmeister1986,
author = {Zinsmeister, Michel},
journal = {Bulletin de la Société Mathématique de France},
keywords = {K-quasiconformal mapping; maximal function inequality},
language = {eng},
pages = {123-133},
publisher = {Société mathématique de France},
title = {A distortion theorem for quasiconformal mappings},
url = {http://eudml.org/doc/87505},
volume = {114},
year = {1986},
}

TY - JOUR
AU - Zinsmeister, Michel
TI - A distortion theorem for quasiconformal mappings
JO - Bulletin de la Société Mathématique de France
PY - 1986
PB - Société mathématique de France
VL - 114
SP - 123
EP - 133
LA - eng
KW - K-quasiconformal mapping; maximal function inequality
UR - http://eudml.org/doc/87505
ER -

References

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  1. [1] BOJARSKI (B.) and IWANIEC (T.). — Analytical foundations of the theory of quasi-conformal mappings in ℝn, Ann. Acad. Sc. Fenn. 8 (1983) p. 257-324. Zbl0548.30016MR85h:30023
  2. [2] DAVIS (B.) and LEWIS (J.). — Paths for subharmonic functions, Proc. London Math. Soc., Vol. XLVIII, 1984, p. 401-428. Zbl0541.31001MR85m:31002
  3. [3] GARNETT (J.), Bounded analytic functions, Academic Press, 1981. Zbl0469.30024MR83g:30037
  4. [4] GEHRING (F.), Rings and quasiconformal mappings in space, Trans. AMS, Vol. 103, 1962, p. 353-393. Zbl0113.05805MR25 #3166
  5. [5] GEHRING (F.). — The Lp integrability of the partial derivatives of a quasiconformal mapping, Acta Math., Vol. 130, 1973, pp. 265-277. Zbl0258.30021MR53 #5861
  6. [6] IWANIEC (T.) and NOLDER (C.). — Hardy-Littlewood inequality for quasiregular mappings in certain domains in ℝn, Ann. Acad. Sc. Fenn. (to appear). Zbl0588.30023
  7. [7] JOHN (F.) and NIRENBERG (L.). — On functions of bounded mean oscillation, Comm. Pure Appl. Math., Vol. 14, 1961, pp. 415-426. Zbl0102.04302MR24 #A1348
  8. [8] JONES (P.). — Extension theorems for BMO, Indiana J. Math., Vol. 29, 1980, pp. 41-66. Zbl0432.42017MR81b:42047
  9. [9] POMMERENKE (C.). — Univalent functions, Vandenhoeck and Ruprecht, Göttingen, 1975. Zbl0298.30014MR58 #22526
  10. [10] VAROPOULOS (N.). — BMO functions and the ∂ equation, Pacific J. Math., Vol. 71, 1977, pp. 221-273. Zbl0371.35035MR58 #22639a

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