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Orlicz spaces for which the Hardy-Littlewood maximal operators is bounded
| Content Provider | Semantic Scholar |
|---|---|
| Author | Gallardo, Diego |
| Copyright Year | 1988 |
| Abstract | Let M be the Hardy-Littlewood maximal operator defined by: Mf(x) = supx I Q 1/|Q| ?Q |f| dx, (f I Lloc(Rn)), where the supreme is taken over all cubes Q containing x and |Q| is the Lebesgue measure of Q. In this paper we characterize the Orlicz spaces Lf*, associated to N-functions f, such that M is bounded in Lf*. We prove that this boundedness is equivalent to the complementary N-function ? of f satisfying the ?2-condition in [0,8), that is, sups>0 ?(2s) / ?(s) < 8. |
| Starting Page | 261 |
| Ending Page | 266 |
| Page Count | 6 |
| File Format | PDF HTM / HTML |
| DOI | 10.5565/37563 |
| Volume Number | 32 |
| Alternate Webpage(s) | http://www.raco.cat/index.php/PublicacionsMatematiques/article/download/37563/37437 |
| Alternate Webpage(s) | https://doi.org/10.5565/37563 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
