Functions from Sobolev and Besov Spaces with Maximal Hausdorff Dimension of the Exceptional Lebesgue Set
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| 008 | 210128e20150801xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s10958-015-2488-0 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10958-015-2488-0 | ||
| 245 | 0 | 0 | |a Functions from Sobolev and Besov Spaces with Maximal Hausdorff Dimension of the Exceptional Lebesgue Set |h [Elektronische Daten] |c [V. Krotov, M. Prokhorovich] |
| 520 | 3 | |a We prove that for p > 1 and 0 < α < n/p there exists a function from the Bessel potentials class J α (L p (ℝ n )) such that the Hausdorff dimension of its exceptional Lebesgue set is n − αp. We also show that such a function may be taken from the Besov class B p,q α (L p (ℝ n )) with any q > 0. | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
| 700 | 1 | |a Krotov |D V. |u Belarusian State University, Minsk, Belarus |4 aut | |
| 700 | 1 | |a Prokhorovich |D M. |u Belarusian State University, Minsk, Belarus |4 aut | |
| 773 | 0 | |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 209/1(2015-08-01), 108-114 |x 1072-3374 |q 209:1<108 |1 2015 |2 209 |o 10958 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10958-015-2488-0 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10958-015-2488-0 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Krotov |D V. |u Belarusian State University, Minsk, Belarus |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Prokhorovich |D M. |u Belarusian State University, Minsk, Belarus |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 209/1(2015-08-01), 108-114 |x 1072-3374 |q 209:1<108 |1 2015 |2 209 |o 10958 | ||