Dimension of images of subspaces under mappings in Triebel‐Lizorkin spaces |
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| Authors: | Stanislav Hencl Petr Honzík |
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| Affiliation: | Department of Mathematical Analysis, Charles University, Sokolovská 83, Czech Republic |
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| Abstract: | Let  and let  be a  ‐quasicontinuous representative of a mapping in the Triebel‐Lizorkin space  . We find an optimal value of  such that for  a.e.  the Hausdorff dimension of  is at most α. We construct examples to show that the value of β is optimal and we show that it does not increase once p goes below the critical value α. |
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| Keywords: | Sobolev mapping Hausdorff dimension 46E35 28A78 |
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