Generalized Hausdorff dimension distortion in Euclidean spaces under Sobolev mappings
classification
🧮 math.CA
keywords
hausdorffdimensiongeneralizedmappingssetssizesaffectdefined
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We investigate how the integrability of the derivatives of Orlicz-Sobolev mappings defined on open subsets of $\mathbb{R}^n$ affect the sizes of the images of sets of Hausdorff dimension less than $n$. We measure the sizes of the image sets in terms of generalized Hausdorff measures.
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