Packing measures and dimensions on cartesian products
Ondrej Zindulka
TL;DR
This paper investigates packing and Hewitt-Stromberg measures on product spaces, establishing new inequalities for packing dimensions and resolving a problem posed by Hu and Taylor.
Contribution
It introduces new product inequalities for packing and lower packing dimensions, advancing the understanding of measure behavior on product metric spaces.
Findings
New inequalities for packing and lower packing dimensions
Resolution of Hu and Taylor's packing dimension problem
Enhanced understanding of measure properties on product spaces
Abstract
Packing measures and Hewitt-Stromberg measures on products of metric spaces are investigated. New product inequalities for packing and lower packing dimensions are esatblished and used to solve a problem of Hu and Taylor regarding packing dimension.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Mathematics and Applications · Advanced Topology and Set Theory