메뉴 건너뛰기




Volumn 34, Issue 6, 2002, Pages 667-676

Plane with A∞-weighted metric not bilipschitz embeddable to ℝn

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0036852462     PISSN: 00246093     EISSN: None     Source Type: Journal    
DOI: 10.1112/S0024609302001200     Document Type: Article
Times cited : (96)

References (15)
  • 2
    • 0000024241 scopus 로고
    • ∞ weights, Sobolev inequalities, and quasiconformal mappings
    • Analysis and partial differential equations, ed. C. Sadosky, Marcel Dekker
    • ∞ weights, Sobolev inequalities, and quasiconformal mappings', Analysis and partial differential equations, Lecture Notes in Pure and Appl. Math. 122 (ed. C. Sadosky, Marcel Dekker, 1990).
    • (1990) Lecture Notes in Pure and Appl. Math.
    • David, G.1    Semmes, S.2
  • 4
    • 0002038388 scopus 로고
    • p-integrability of the partial derivatives of a quasiconformal mapping
    • p-integrability of the partial derivatives of a quasiconformal mapping', Acta Math. 130 (1973) 265-277.
    • (1973) Acta Math. , vol.130 , pp. 265-277
    • Gehring, F.1
  • 5
    • 0002048617 scopus 로고    scopus 로고
    • Quasiconformal maps in metric spaces with controlled geometry
    • J. Heinonen and P. Koskela, 'Quasiconformal maps in metric spaces with controlled geometry', Acta Math. 181 (1998) 1-61.
    • (1998) Acta Math. , vol.181 , pp. 1-61
    • Heinonen, J.1    Koskela, P.2
  • 6
    • 85009821115 scopus 로고    scopus 로고
    • Thirty-three yes or no questions about mappings, measures and metrics
    • J. Heinonen and S. Semmes, 'Thirty-three yes or no questions about mappings, measures and metrics', Conformal geometry and dynamics 1 (1997) 1-12; http://www.ams.org/ecgd/home-1997.html.
    • (1997) Conformal geometry and dynamics , vol.1 , pp. 1-12
    • Heinonen, J.1    Semmes, S.2
  • 7
    • 0034411831 scopus 로고    scopus 로고
    • Ahlfors Q-regular spaces with arbitrary Q > 1 admitting weak Poincaré inequality
    • T. Laakso, 'Ahlfors Q-regular spaces with arbitrary Q > 1 admitting weak Poincaré inequality', Geom. Funct. Anal 10 (2000) 111-123.
    • (2000) Geom. Funct. Anal , vol.10 , pp. 111-123
    • Laakso, T.1
  • 9
    • 0000699601 scopus 로고    scopus 로고
    • On the nonexistence of bilipschitz parametrizations
    • S. Semmes, 'On the nonexistence of bilipschitz parametrizations', Rev. Mat. Iberoamericana 12 (1996) 337-410.
    • (1996) Rev. Mat. Iberoamericana , vol.12 , pp. 337-410
    • Semmes, S.1
  • 10
    • 0001010413 scopus 로고    scopus 로고
    • Finding curves on general spaces through quantitative topology with applications for Sobolev and Poincaré inequalities
    • S. Semmes, 'Finding curves on general spaces through quantitative topology with applications for Sobolev and Poincaré inequalities', Selecta Math. 2 (1996) 155-295.
    • (1996) Selecta Math. , vol.2 , pp. 155-295
    • Semmes, S.1
  • 11
    • 0038169369 scopus 로고    scopus 로고
    • Metric spaces and mappings seen at many scales
    • ed. M. Gromov et al., Birkhäuser, Boston, appendix
    • S. Semmes, 'Metric spaces and mappings seen at many scales', Metric structures for Riemannian and non-Riemannian spaces (ed. M. Gromov et al., Birkhäuser, Boston, 1999) appendix.
    • (1999) Metric structures for Riemannian and non-Riemannian spaces
    • Semmes, S.1
  • 14
    • 0037932535 scopus 로고
    • Lectures on n-dimensional quasiconformal mappings
    • Springer, Berlin/Heidelberg/New-York
    • J. Väisälä, Lectures on n-dimensional quasiconformal mappings, Lecture Notes in Math. 229 (Springer, Berlin/Heidelberg/New-York, 1971).
    • (1971) Lecture Notes in Math. , vol.229
    • Väisälä, J.1
  • 15
    • 0000895625 scopus 로고
    • Quasiconformal maps of cylindrical domains
    • J. Väisälä, 'Quasiconformal maps of cylindrical domains', Acta Math. 162 (1989) 201-225.
    • (1989) Acta Math. , vol.162 , pp. 201-225
    • Väisälä, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.