The packing dimension of projections and sections of measures

Mathematical Proceedings of the Cambridge Philosophical Society

Volumn 119, Issue 4, 1996, Pages 695-713

  Falconer, Kenneth J ^a   Mattila, Pertti ^b  

^a UNIVERSITY OF ST ANDREWS   (United Kingdom)

^b UNIVERSITY OF JYVÄSKYLÄ   (Finland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21344448576     PISSN: 03050041     EISSN: 14698064     Source Type: Journal    
DOI: 10.1017/S0305004100074533     Document Type: Article

References (12)

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3. K. J. Falconer and J. D. Howroyd. Projection theorems for box and packing dimensions, to appear in Math. Proc. Cambridge Philos. Soc.
4. X. Hu and S. J. Taylor. Fractal properties of products and projections of measures in Rd. Math. Proc. Cambridge Philos. Soc. 115 (1994), 527–544.
5. M. Järvenpää. On the upper Minkowski dimension, packing dimension, and orthogonal projections. Ann. Acad. Sei. Fenn. Ser. A 1 Math. Dissertationes 99 (1994).
6. J. M. Marstrand. Some fundamental geometrical properties of plane sets of fractional dimension. Proc. London Math. Soc. (3) 4 (1954), 257–302.
7. P. Mattila. Hausdorff dimension, orthogonal projections and intersections with planes. Ann. Acad. Sei. Fenn. Ser. A 1 Math. 1 (1975), 227–244.
8. P. Mattila. Integralgeometric properties of capacities. Trans. Amer. Math. Soc. 266 (1981), 539–554.
9. P. Mattila. Geometry of sets and measures in Euclidean spaces (Cambridge University Press, 1995).
10. D. Preiss. Geometry of measures in IR”: distribution, rectifiability, and densities. Ann. of Math. 125 (1987), 537–643.
11. C. Tricot. Two definitions of fractional dimension. Math. Proc. Cambridge Philos. Soc. 91 (1982), 57–74.
12. K. J. Falconer and J. D. Howroyd. Packing dimensions of projections and dimension profiles, to appear.