Scaled oscillation and level sets

  title={Scaled oscillation and level sets},
  author={Iqra Altaf and Marianna Csornyei and Bobby Wilson},
We study the size and regularity properties of level sets of continuous functions with bounded upper-scaled and lower-scaled oscillation. 

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Geometry of Sets and Measures in Euclidean Spaces: Fractals and Rectifiability
Acknowledgements Basic notation Introduction 1. General measure theory 2. Covering and differentiation 3. Invariant measures 4. Hausdorff measures and dimension 5. Other measures and dimensions 6.
email: csornyei@math.uchicago
  • Geometry of sets and measures in Euclidean spaces: fractals and rectifiability. Number 44
  • 1999