Mappings of finite distortion: Ln logα L-integrability

Journal of the London Mathematical Society

Volumn 67, Issue 1, 2003, Pages 123-136

  Iwaniec, T ^a   Koskela, P ^b   Martin, G ^c   Sbordone, C ^d  

^a SYRACUSE UNIVERSITY   (United States)

^b UNIVERSITY OF AUCKLAND   (New Zealand)

^c UNIVERSITY OF JYVÄSKYLÄ   (Finland)

^d UNIVERSITY OF NAPLES FEDERICO II   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037569578     PISSN: 00246107     EISSN: None     Source Type: Journal    
DOI: 10.1112/S0024610702003769     Document Type: Article

References (31)

1. K. ASTALA, T. IWANIEC, P. KOSKELA and G. MARTIN, 'Mappings of BMO-bounded distortion', Math. Ann. 317 (2000) 703-726.
2. B. BOJARSKI, 'Homeomorphic solutions of Beltrami systems', Dokl. Akad. Nauk. SSSR 102 (1955) 661-664.
3. M. A. BRAKALOVA and J. A. JENKINS, 'On solutions of the Beltrami equation', J. Anal. Math. 76 (1998) 67-92.
4. ∞ in some function spaces and applications', Differential Integral Equations 10 (1997) 599-607.
5. ∞,' Ann. Acad. Sci. Fenn. Ser. A I Math. 13 (1998) 25-70.
6. p-integrability of the partial derivatives of a quasiconformal mapping', Acta Math. 130 (1973) 265-277.
7. F. W. GEHRING and T. IWANIEC, 'The limit of mappings with finite distortion', Ann. Acad. Sci. Fenn. Math. 24 (1999) 253-264.
8. V. M. GOLDSTEIN and S. K. VODOP'YANOV, 'Quasiconformal mappings and space of functions with generalized first derivatives', Sibirsk. Mat. Z. 17 (1976) 515-531.
9. L. GRECO, T. IWANIEC, C. SBORDONE and B. STROFFOLINI, 'Degree formulas for maps with nonintegrable Jacobians', Topol. Methods Nonlinear Anal. 6 (1995) 81-95.
10. J. HEINONEN and P. KOSKELA, 'Sobolev mappings with integrable dilatation', Arch. Rational Mech. Anal. 125 (1993) 81-97.
11. J. HEINONEN, T. KILPELÄINEN and O. MARTIO, Nonlinear potential theory (Oxford University Press, 1993).
12. T. IWANIEC and G. MARTIN, Geometric function theory and nonlinear analysis (Oxford University Press, 2001).
13. T. IWANIEC and G. MARTIN, 'Squeezing the Sierpinski sponge', Studia Math. 149 (2002) 133-145.
14. T. IWANIEC and G. MARTIN, 'The Beltrami equation', Mem. Amer. Math. Soc. (to appear).
15. T. IWANIEC and C. SBORDONE, 'On the integrability of the Jacobian under minimal hypotheses', Arch. Rational Mech. Anal. 119 (1992) 129-143.
16. T. IWANIEC and C. SBORDONE, 'Div-curl fields of finite distortion', C. R. Acad. Sci. Paris Sér. I 327 (1998) 729-734.
17. T. IWANIEC and C. SBORDONE, 'Quasiharmonic fields', Ann. Insl. H. Poincaré Anal. Non Linéaire 18 (2001) 519-572.
18. T. IWANIEC and V. ŠVERÁK, 'On mappings with integrable dilatation', Proc. Amer. Math. Soc. 118 (1993) 181-188.
19. T. IWANIEC, P. KOSKELA and G. MARTIN, 'Mappings of BMO-distortion and Beltrami type operators', J. Anal. Math., to appear.
20. T. IWANIEC, P. KOSKELA and J. ONNINEN, 'Mappings of finite distortion: monotonicity and continuity', Invent. Math. 144 (2001) 507-531.
21. T. IWANIEC, L. MIGLIACCIO, G. MOSCARIELLO and A. PASSARELLI DI NAPOLI, 'A priori estimates for nonlinear elliptic complexes', preprint, Università degli Studi di Napoli, 2000.
22. J. KAUHANEN, P. KOSKELA and J. MALY, 'Mappings of finite distortion: discreteness and openness', Arch. Rational Mech. Anal. 160 (2001) 135-151.
23. J. KAUHANEN, P. KOSKELA and J. MALY, 'Mappings of finite distortion: condition N', Michigan Math. J. 49 (2001) 169-181.
24. O. LEHTO, Univalent functions and Teichmuller spaces, Graduate Texts in Mathematics 109 (Springer, 1987).
25. J. MANFREDI and E. VILLAMOR, 'Mappings with integrable dilatation in higher dimensions', Bull. Amer. Math. Soc. (N.S.) 32 (1995) 235-240.
26. J. MANFREDI and E. VILLAMOR, 'An extension of Reshetnyak's theorem", Indiana Univ. Math. J. 47 (1998) 1131-1145.
27. L. MIGLIACCIO and G. MOSCARIELLO, 'Mappings with unbounded dilatation', preprint, Università degli Studi di Salerno, 1997.
28. V. POTEMKIN and V. RYAZANOV, 'On the noncompactness of David classes', Ann. Acad. Sci. Fenn. Math. 23 (1998) 191-204.
29. V. RYAZANOV, U. SREBRO and E. YAKUBOV, 'BMO-quasiconformal mappings', J. Anal, Math. 83 (2001) 1-20.
30. U. SREBRO and E. YAKUBOV, 'Branched folded maps and alternating Beltrami equations', J. Anal. Math. 70 (1996) 65-90.
31. P. TUKIA, 'Compactness properties of μ-homeomorphisms', Ann. Acad. Sci. Fenn. Ser. A I Math. 16 (1991) 47-69.