Rectifiability of Sets of Finite Perimeter in Carnot Groups: Existence of a Tangent Hyperplane
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[1] J. Cheeger,et al. Differentiating maps into L1, and the geometry of BV functions , 2006, math/0611954.
[2] Vladimir I. Clue. Harmonic analysis , 2004, 2004 IEEE Electro/Information Technology Conference.
[3] S. Pauls,et al. C^1 Hypersurfaces of the Heisenberg Group are N-Rectifiable , 2004, math/0407223.
[4] Paolo Tilli,et al. Topics on analysis in metric spaces , 2004 .
[5] F. S. Cassano,et al. On the structure of finite perimeter sets in step 2 Carnot groups , 2003 .
[6] Michele Miranda,et al. Functions of bounded variation on “good” metric spaces , 2003 .
[7] L. Ambrosio. Fine Properties of Sets of Finite Perimeter in Doubling Metric Measure Spaces , 2002 .
[8] Bruno Franchi,et al. Rectifiability and perimeter in the Heisenberg group , 2001 .
[9] F. S. Cassano,et al. Surface measures in Carnot-Carathéodory spaces , 2001 .
[10] Luigi Ambrosio,et al. Some Fine Properties of Sets of Finite Perimeter in Ahlfors Regular Metric Measure Spaces , 2001 .
[11] Scott D. Pauls,et al. A notion of rectifiability modeled on Carnot groups , 2000, math/0004069.
[12] Nicola Garofalo,et al. ISOPERIMETRIC AND SOBOLEV INEQUALITIES FOR CARNOT-CARATHEODORY SPACES AND THE EXISTENCE OF MINIMAL SURFACES , 1996 .
[13] A. Korányi,et al. Foundations for the Theory of Quasiconformal Mappings on the Heisenberg Group , 1995 .
[14] Nicholas T. Varopoulos,et al. Analysis and Geometry on Groups , 1993 .
[15] D. Fremlin. Spaces of Finite Length , 1992 .
[16] D. Preiss,et al. On Besicovitch's ½-Problem , 1992 .
[17] N. Varopoulos. Analysis on Lie groups , 1988 .
[18] David Preiss,et al. Geometry of measures in $\mathbf{R}^n$: Distribution, rectifiability, and densities , 1987 .
[19] E. Stein,et al. Balls and metrics defined by vector fields I: Basic properties , 1985 .
[20] A. Korányi,et al. Quasiconformal mappings on the Heisenberg group , 1985 .
[21] H. Helson. Harmonic Analysis , 1983 .
[22] H. Fédérer. Geometric Measure Theory , 1969 .
[23] L. Hörmander,et al. The spectral function of an elliptic operator , 1968 .
[24] L. Hörmander. Hypoelliptic second order differential equations , 1967 .
[25] E. Giorgi,et al. Su una teoria generale della misura (r − 1)-dimensionale in uno spazio adr dimensioni , 1954 .
[26] Bruce Kleiner,et al. On the differentiability of Lispschitz maps from metric measure spaces to Banach spaces , 2006 .
[27] F. S. Cassano,et al. Rectifiability and parameterization of intrinsic regular surfaces in the Heisenberg group , 2004 .
[28] Valentino Magnani. Elements of geometric measure theory on sub-riemannian groups : tesi di perfezionamento , 2002 .
[29] L. Ambrosio,et al. Functions of Bounded Variation and Free Discontinuity Problems , 2000 .
[30] Pekka Koskela,et al. Sobolev met Poincaré , 2000 .
[31] D. Danielli,et al. Trace inequalities for Carnot-Carathéodory spaces and applications , 1998 .
[32] Stephen Semmes,et al. Fractured fractals and broken dreams : self-similar geometry through metric and measure , 1997 .
[33] M. Gromov. Carnot-Carathéodory spaces seen from within , 1996 .
[34] Pertti Mattila,et al. Geometry of sets and measures in Euclidean spaces , 1995 .
[35] B. Kirchheim. Rectifiable metric spaces: local structure and regularity of the Hausdorff measure , 1994 .
[36] Luca Capogna,et al. The geometric Sobolev embedding for vector fields and the isoperimetric inequality , 1994 .
[37] D. Preiss,et al. On Besicovitch's 1/2 problem , 1992 .
[38] P. Pansu,et al. Métriques de Carnot-Carthéodory et quasiisométries des espaces symétriques de rang un , 1989 .
[39] A. W. Knapp. Lie groups beyond an introduction , 1988 .
[40] J. Mitchell. On Carnot-Carathéodory metrics , 1985 .
[41] Elias M. Stein,et al. Hardy spaces on homogeneous groups , 1982 .
[42] S. Helgason. Differential Geometry, Lie Groups, and Symmetric Spaces , 1978 .