On the mutual multifractal analysis for some non-regular Moran measures. (English) Zbl 07724925
Summary: In this paper, we study the mutual multifractal Hausdorff dimension and the packing dimension of level sets \(K(\alpha, \beta)\) for some non-regular Moran measures satisfying the so-called Strong Separation Condition. We obtain sufficient conditions for the valid multifractal formalisms of such measures and discuss examples.
MSC:
| 28A20 | Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence |
| 28A75 | Length, area, volume, other geometric measure theory |
| 28A78 | Hausdorff and packing measures |
| 28A80 | Fractals |
| 49Q15 | Geometric measure and integration theory, integral and normal currents in optimization |
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