Timeline for What is the $L^p$-norm of the (uncentered) Hardy-Littlewood maximal function?
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| Jul 6, 2011 at 13:50 | comment | added | Willie Wong | A few comments (a) the second author of the first paper you refer to is Montgomery-Smith, not just Smith. (b) The sharp constants computed by Grafakos and Montgomer-Smith for the uncentered operator, and the sharp constant by Melas, are both results in 1 dimension. Less is known for higher dimensions; though there are known improvements over the exponential bounds for the centered maxmimal functions. The classic paper in that direction is the 1983 paper of Eli Stein and J. Stromberg, though I'm sure there must be other references since then. | |
| May 25, 2011 at 9:18 | history | answered | Shaoming Guo | CC BY-SA 3.0 |