In this work, we introduce a general vectorial formalism for the vectorial multifractal analysis based on the Hewitt–Stromberg measures of vector-valued functions of balls in a metric space with respect to a probability measure.

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On the Relative Vectorial Multifractal Analysis of Fractal Measures

  • Najmeddine Attia,
  • Amal Mahjoub

摘要

In this work, we introduce a general vectorial formalism for the vectorial multifractal analysis based on the Hewitt–Stromberg measures of vector-valued functions of balls in a metric space with respect to a probability measure.