A MASS TRANSFERENCE PRINCIPLE AND SETS WITH LARGE INTERSECTIONS

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Sammanfattning

I prove a mass transference principle for general shapes, similar to a recent result by H. Koivusalo and M. Rams. The proof relies on Vitali's covering lemma and manipulations with Riesz energies. The main novelty is that it is proved that the obtained limsup-set belongs to the classes of sets with large intersections, as defined by K. Falconer. This has previously not been proved for as general shapes as in this paper.

Originalspråkengelska
Sidor (från-till)191-206
Antal sidor16
TidskriftReal Analysis Exchange
Volym47
Nummer1
DOI
StatusPublished - 2022

Ämnesklassifikation (UKÄ)

  • Matematisk analys

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