Measure density and extendability of Sobolev functions.
P. Hajlasz, P. Koskela, H. Tuominen (2008)
Revista Matemática Iberoamericana
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P. Hajlasz, P. Koskela, H. Tuominen (2008)
Revista Matemática Iberoamericana
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Kazuya Tachizawa (2005)
Revista Matemática Iberoamericana
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We give a weighted version of the Sobolev-Lieb-Thirring inequality for suborthonormal functions. In the proof of our result we use phi-transform of Frazier-Jawerth.
R. Tessera (2008)
Revista Matemática Iberoamericana
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P. A. Hästo (2007)
Revista Matemática Iberoamericana
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Aurélia Fraysse, Stéphane Jaffard (2006)
Revista Matemática Iberoamericana
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We show that almost every function (in the sense of prevalence) in a Sobolev space is multifractal: Its regularity changes from point to point; the sets of points with a given Hölder regularity are fractal sets, and we determine their Hausdorff dimension.
I. Gentil, A. Guillin, L. Miclo (2007)
Revista Matemática Iberoamericana
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T. Mäkäläinen (2009)
Revista Matemática Iberoamericana
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Andrea Cianchi (2004)
Revista Matemática Iberoamericana
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N. Bournaveas, S. Gutiérrez (2007)
Revista Matemática Iberoamericana
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M. Wilson (2007)
Revista Matemática Iberoamericana
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