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On a class of Besicovitch functions to have exact box dimension: A necessary and sufficient condition

✍ Scribed by Zhou Songping; He Guolong

Publisher
Springer
Year
2004
Tongue
English
Weight
259 KB
Volume
20
Category
Article
ISSN
1573-8175

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On a class of Besicovitch functions to h
On a class of Besicovitch functions to have exact box dimension: A necessary and sufficient condition
✍ S. P. Zhou; G. L. He πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 111 KB

## Abstract Let 1 < __s__ < 2, __Ξ»~k~__ > 0 with __Ξ»~k~__ β†’ ∞ satisfy __Ξ»__~__k__+1~/__Ξ»~k~__ β‰₯ __Ξ»__ > 1. For a class of Besicovich functions __B__(__t__) = $ \sum ^{\infty} \_{k=1} \, \lambda ^{s-2} \_{k} $ sin __Ξ»~k~t__, the present paper investigates the intrinsic relationship between box dimen