Close Search Advanced
Journals
Resources
About Us
Open Access

Note on the Paper "An Negative Answer to a Conjecture on the Self-Similar Sets Satisfying the Open Set Condition"

Note on the Paper "An Negative Answer to a Conjecture on the Self-Similar Sets Satisfying the Open Set Condition"
Preview
Add to basket

Year:    2012

Author:    Shaoyuan Xu, Wangbin Xu

Analysis in Theory and Applications, Vol. 28 (2012), Iss. 1 : pp. 49–57

Abstract

In this paper, we present a more simple and much shorter proof for the main result in the paper “An negative answer to a conjecture on the self-similar sets satisfying the open set condition”, which was published in the journal Analysis in Theory and Applications in 2009.

Submit Article

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/ata.2012.v28.n1.6

Analysis in Theory and Applications, Vol. 28 (2012), Iss. 1 : pp. 49–57

Published online:    2012-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    9

Keywords:    Self-similar set best covering natural covering Hausdorff measure and Hausdorff dimension.

Author Details

Shaoyuan Xu

Wangbin Xu

  1. Contracting Similarity Fixed Point of General Sierpinski Gasket

    Sun, Shanhui | Li, Zhuangzhuang | Wu, Yimin | Xu, Yan

    Journal of Multimedia, Vol. 8 (2013), Iss. 6

    https://doi.org/10.4304/jmm.8.6.816-822 [Citations: 0]

  2. A MIXED MULTIFRACTAL ANALYSIS FOR QUASI-AHLFORS VECTOR-VALUED MEASURES

    MABROUK, ANOUAR BEN | FARHAT, ADEL

    Fractals, Vol. 30 (2022), Iss. 01

    https://doi.org/10.1142/S0218348X22400011 [Citations: 5]

  3. On the mixed multifractal densities and regularities with respect to gauges

    Ben, Mabrouk | Menceur, Mohamed | Selmi, Bilel

    Filomat, Vol. 36 (2022), Iss. 12 P.4225

    https://doi.org/10.2298/FIL2212225B [Citations: 1]

  4. A joint multifractal analysis of vector valued non Gibbs measures

    Menceur, Mohamed | Mabrouk, Anouar Ben

    Chaos, Solitons & Fractals, Vol. 126 (2019), Iss. P.203

    https://doi.org/10.1016/j.chaos.2019.05.010 [Citations: 13]

  5. MIXED MULTIFRACTAL DENSITIES FOR QUASI-AHLFORS VECTOR-VALUED MEASURES

    MABROUK, ANOUAR BEN | FARHAT, ADEL

    Fractals, Vol. 30 (2022), Iss. 01

    https://doi.org/10.1142/S0218348X22400035 [Citations: 3]