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Necessary and sufficient condition for L to have property C

✍ Scribed by A.G. Ramm


Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
286 KB
Volume
156
Category
Article
ISSN
0022-247X

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On a class of Besicovitch functions to h
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## 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