Checkerboards, Lipschitz functions and uniform rectifiability

Revista Matematica Iberoamericana

Volumn 13, Issue 1, 1997, Pages 189-210

  Jones, Peter W ^a   Katz, Nets Hawk ^b   Vargas, Ana ^c  

^a Department of Mathematics ^*  (United States)

^b UNIVERSITY OF EDINBURGH   (United Kingdom)

^c UNIVERSIDAD AUTÓNOMA DE MADRID   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031531495     PISSN: 02132230     EISSN: 22350616     Source Type: Journal    
DOI: 10.4171/RMI/219     Document Type: Article

References (11)

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2. Besicovitch, A. S., On the fundmental geometric properties of linearly measurable plane sets of points (I). Math. Ann. 98 (1927), 422-464.
3. David, G., Semmes, S., Analysis on Uniformly Rectifiable Sets. American Mathematical Society, 1993.
4. David, G., Semmes, S., Quasiminimal surfaces of codimension 1 and John domains. Preprint, Inst. Hautes Etudes Sci. Math. (1996).
5. Federer H., Geometric Measure Theory. Springer-Verlag, 1969.
6. Falconer, K., The Geometry of Fractal Sets. Cambridge University Press, 1985.
7. Guzman, M. de, Real Variable Methods in Fourier Analysis. North Holland, 1981.
8. Gilbart, D., Trudinger, N. S., Elliptic Partial Differential Equations of Second Order. Springer-Verlag, 1983.
9. Jones, P. W., Lipschitz and bi-Lipschitz Functions. Revista Mat. Ibero-americana 4 (1988), 115-121.
10. Semmes, S., Finding structure in sets with little smoothness. In: Proceeding of the International Congress of Mathematicians, Zürich (1994) 875-885. Birkhäuser-Verlag, 1995.
11. Simon, L., Lectures on Geometric Measure Theory. Centre for Mathematical Analysis, ANU, 1984.