Frostman lemmas for Hausdorff measure and packing measure in a product probability space and their physical application
type: Item
instance of: scholarly article
title: Frostman lemmas for Hausdorff measure and packing measure in a product probability space and their physical application
zbMATH Open document ID: 1109.28005
author: Chaoshou Dai
author: Yanyan Hou
published in: Chaos, Solitons and Fractals
publication date: 2005-04-21T00:00:00Z
review text: The authors establish Frostman-type lemmas for the Hausdorff and pre-packing measures on a product probability measure space \((\Omega, {\mathcal F}, \mu) = (\Omega_1\times \Omega_2, {\mathcal F}_1\times {\mathcal F}_2, \mu_1\times\mu_2)\). Based on these results, they prove a sufficient condition for the Hausdorff and packing dimensions with respect to product measure \(\mu\) of the Cartesian product \(A\times B \in {\mathcal F}_1\times {\mathcal F}_2\) to coincide.
reviewed by: Y. Xiao
Mathematics Subject Classification ID: 28A78
Mathematics Subject Classification ID: 28A80
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 60B05
zbMATH DE Number: 2160327
zbMATH Keywords: Hausdorff measure on probability space
zbMATH Keywords: Frostman-type lemma
zbMATH Keywords: Cartesian product
MaRDI profile type: Publication
full work available at URL: j.chaos.2004.05.045
OpenAlex ID: W2073312940
Wikidata QID: Q124843449
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DOI: 10.1016/J.CHAOS.2004.05.045
description: scientific article; zbMATH DE number 2160327