Title of article
Hausdorff measure and packing measure of the graph of dilation-stable Lévy processes
Author/Authors
Hou، نويسنده , , Yanyan، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2012
Pages
10
From page
234
To page
243
Abstract
Let X = { X ( t ) , t ∈ R + } be a dilation-stable Lévy process on R d . We determine a Hausdorff measure function ϕ ( a ) such that the graph G [ 0 , 1 ] = { ( t , X ( t ) ) : 0 ⩽ t ⩽ 1 } has positive finite ϕ-measure. We also investigate the packing measure of G [ 0 , 1 ] .
Keywords
Dilation-stable Lévy processes , Exact Hausdorff measure function , Packing measure , graph
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2012
Journal title
Journal of Mathematical Analysis and Applications
Record number
1562723
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