Local Khintchine inequality in rearrangement invariant spaces
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| 024 | 7 | 0 | |a 10.1007/s10231-013-0391-1 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10231-013-0391-1 | ||
| 245 | 0 | 0 | |a Local Khintchine inequality in rearrangement invariant spaces |h [Elektronische Daten] |c [Serguey Astashkin, Guillermo Curbera] |
| 520 | 3 | |a We prove that the local version of Khintchine inequality holds in an rearrangement invariant function space $$X$$ X on [0,1] if and only if the lower dilation index of the fundamental function of $$X$$ X is positive. A further characterization is given, based on the uniform behavior in $$X$$ X of the dilations of the logarithmic function. For this, a study of the space of functions acting as multiplication operators in $$X$$ X for the tails of Rademacher series is carried out. | |
| 540 | |a Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg, 2013 | ||
| 690 | 7 | |a Rademacher functions |2 nationallicence | |
| 690 | 7 | |a Rearrangement invariant space |2 nationallicence | |
| 690 | 7 | |a Khintchine inequality |2 nationallicence | |
| 700 | 1 | |a Astashkin |D Serguey |u Department of Mathematics and Mechanics, Samara State University, ul. Akad. Pavlova 1, 443011, Samara, Russia |4 aut | |
| 700 | 1 | |a Curbera |D Guillermo |u Facultad de Matemáticas, Universidad de Sevilla, Aptdo. 1160, 41080, Sevilla, Spain |4 aut | |
| 773 | 0 | |t Annali di Matematica Pura ed Applicata (1923 -) |d Springer Berlin Heidelberg |g 194/3(2015-06-01), 619-643 |x 0373-3114 |q 194:3<619 |1 2015 |2 194 |o 10231 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10231-013-0391-1 |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/s10231-013-0391-1 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Astashkin |D Serguey |u Department of Mathematics and Mechanics, Samara State University, ul. Akad. Pavlova 1, 443011, Samara, Russia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Curbera |D Guillermo |u Facultad de Matemáticas, Universidad de Sevilla, Aptdo. 1160, 41080, Sevilla, Spain |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Annali di Matematica Pura ed Applicata (1923 -) |d Springer Berlin Heidelberg |g 194/3(2015-06-01), 619-643 |x 0373-3114 |q 194:3<619 |1 2015 |2 194 |o 10231 | ||