Year: 2026
Type: article
Abstract: We examine Frostman-type characterisations and other extremal measure criteria for a range of fractal dimensions of sets. In particular we derive properties of the less familiar modified lower box dimension and upper correlation dimension. We also express a number of fractal dimensions in terms of Fourier properties of measures.
Source: Mathematische Zeitschrift
Authors: Kenneth J. Falconer, Shuqin Zhang
Institutions: University of St Andrews, Fudan University
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,290
OpenAlex ID: W7130402769