a note on the regularity of the two-dimensional one-sided hardy-littlewood maximal function
;Feng Liu;Lei Xu
Biosensors2018Vol. 2018pp. -
291
liu2018journala
Abstract
We investigate the regularity properties of the two-dimensional one-sided Hardy-Littlewood maximal operator. We point out that the above operator is bounded and continuous on the Sobolev spaces Ws,p(R2) for 0≤s≤1 and 1