An integral characterization of Hajlasz-Sobolev space;Une caractérisation intégrale de l'espace de Hajlasz-Sobolev

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 333, Issue 5, 2001, Pages 445-450

  Troyanov, Marc ^a   Gol'Dshtein, Vladimir ^b  

^a EPFL   (Switzerland)

^b BEN GURION UNIVERSITY OF THE NEGEV   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0041367469     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(01)02088-2     Document Type: Article

References (7)

1. Franchi B., Hajlasz P., Koskela P. Definitions of Sobolev classes on metric spaces. Ann. Inst. Fourier. 49:1999;1903-1924.
2. Franchi B., Lu G., Wheeden R. A relationship between Poincaré-type inequalities and representation formulas in spaces of homogeneous type. Int. Math. Res. Notices. 1:1996;1-14.
3. Gol'dshtein V.M., Troyanov M., Axiomatic theory of Sobolev spaces, Expositiones Mathematicae (to appear).
4. Hajlasz P. Sobolev spaces on an arbitrary metric space. Potent. Anal. 5:(4):1996;403-415.
5. Hajlasz P., Koskela P. Sobolev met Poincaré Mem. Amer. Math. Soc. 145:(688):2000.
6. Kinnunen J., Martio O. The Sobolev capacity on metric spaces. Ann. Acad. Sci. Fennicae, Series Mathematica. 21:1996;367-382.
7. Koskela P., MacManus P. Quasiconformal mappings and Sobolev spaces. Studia Math. 131:(1):1998;1-17.