Hausdorff and packing dimensions, intersection measures, and similarities

Annales Academiae Scientiarum Fennicae Mathematica

Volumn 24, Issue 1, 1999, Pages 165-186

  Järvenpää, Maarit ^a  

^a UNIVERSITY OF JYVÄSKYLÄ   (Finland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033478681     PISSN: 1239629X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (10)

1. FALCONER, K.J., and J.D. HOWROYD: Packing dimensions of projections and dimension profiles. - Math. Proc. Cambridge Philos. Soc. 121, 1997, 269-286.
2. FALCONER, K.J., and P. MATTILA: The packing dimension of projections and sections of measures. - Math. Proc. Cambridge Philos. Soc. 119, 1996, 695-713.
3. FEDERER, H.: Geometric Measure Theory. - Springer-Verlag, 1969.
4. JÄRVENPÄÄ, M.: Concerning the packing dimension of intersection measures. - Math. Proc. Cambridge Philos. Soc. 121, 1997, 287-296.
5. JÄRVENPÄÄ, M.: Packing dimension, intersection measures, and isometries. - Math. Proc. Cambridge Philos. Soc. 122, 1997, 483-490.
6. JÄRVENPÄÄ, M., and P. MATTILA: Hausdorff and packing dimensions and sections of measures. - Mathematika (to appear).
7. KAHANE, J.-P.: Sur la dimension des intersections. - In: Aspects of Mathematics and its Applications, Elsevier Science Publishers B. V., 1986, pp. 419-430.
8. MATTILA, P.: Integralgeometric properties of capacities. - Trans. Amer. Math. Soc 266, 1981, 539-554.
9. MATTILA, P.: Hausdorff dimension and capacities of intersections of sets in n-space. - Acta Math. 152, 1984, 77-105.
10. MATTILA, P.: Geometry of Sets and Measures in Euclidean Spaces. - Cambridge University Press, 1995.