A+ CATEGORY SCIENTIFIC UNIT

Estimates of capacity of self-similar measures

Volume 78 / 2002

Jozef Myjak, Tomasz Szarek Annales Polonici Mathematici 78 (2002), 141-157 MSC: Primary 47A35; Secondary 28D15. DOI: 10.4064/ap78-2-5

Abstract

We give lower and upper estimates of the capacity of self-similar measures generated by iterated function systems $\{(S_i,p_i): i=1,\dots,N\}$ where $S_i$ are bi-lipschitzean transformations.

Authors

  • Jozef MyjakDipartamento di Matematica Pura ed Applicata
    Università di L'Aquila
    via Vetoio
    67100 L'Aquila, Italy
    e-mail
  • Tomasz SzarekInstitute of Mathematics
    Polish Academy of Sciences
    Bankowa 14
    40-007 Katowice, Poland
    e-mail

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