The packing measure of rectifiable sets

1984 ◽  
Vol 10 (1) ◽  
pp. 58
Author(s):  
Taylor ◽  
Tricot
2008 ◽  
Vol 360 (03) ◽  
pp. 1559-1581 ◽  
Author(s):  
S. V. Borodachov ◽  
D. P. Hardin ◽  
E. B. Saff

1996 ◽  
Vol 28 (2) ◽  
pp. 344-345
Author(s):  
Martina Zähle

Let dimH, E be the Hausdorff dimension and dimP, E the packing dimension of the subset E of ℝn given by the unique exponent where the corresponding Hausdorff or packing measure of E jumps from infinity to zero.


2006 ◽  
Vol 74 (3) ◽  
pp. 443-448 ◽  
Author(s):  
H.K. Baek

For a class of homogeneous Cantor sets, we find an explicit formula for their packing dimensions. We then turn our attention to the value of packing measures. The exact value of packing measure for homogeneous Cantor sets has not yet been calculated even though that of Hausdorff measures was evaluated by Qu, Rao and Su in (2001). We give a reasonable lower bound for the packing measures of homogeneous Cantor sets. Our results indicate that duality does not hold between Hausdorff and packing measures.


Sign in / Sign up

Export Citation Format

Share Document