Averaging on n-dimensional rectangles
| Autor: | Emma D'Aniello, Laurent Moonens |
|---|---|
| Přispěvatelé: | D'Aniello, Emma, Moonens, Laurent, Seconda Università degli Studi di Napoli, Laboratoire de Mathématiques d'Orsay (LM-Orsay), Université Paris-Sud - Paris 11 (UP11)-Centre National de la Recherche Scientifique (CNRS), Université Paris-Sud, ANR-12-BS01-0014,GEOMETRYA,Théorie géométrique de la mesure et applications(2012) |
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
N dimensional
General Mathematics Maximal functions and operator Combinatorics AMS 42B25 (primary) 26B05 (secondary) Mathematics - Classical Analysis and ODEs 42B25 26B05 Classical Analysis and ODEs (math.CA) FOS: Mathematics Invariant (mathematics) [MATH]Mathematics [math] differentiation base Mathematics Lebesgue’s differentiation theorem |
| Popis: | In this work we investigate families of translation invariant differentiation bases $B$ of rectangles in $R^n$, for which $L\log^{n-1}L(R^n)$ is the largest Orlicz space that $B$ differentiates. In particular, we improve on techniques developed by A.~Stokolos 1988 and 2008. 17 pages, 2 figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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