Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7222601 | Nonlinear Analysis: Theory, Methods & Applications | 2018 | 23 Pages |
Abstract
In the first part of this paper we study the regularity properties of a wide class of maximal operators. These results are used to show that the spherical maximal operator is continuous W1,p(Rn)â¦W1,p(Rn), when p>nnâ1. Other given applications include fractional maximal operators and maximal singular integrals. On the other hand, we show that the restricted Hardy-Littlewood maximal operator Mλ, where the supremum is taken over the cubes with radii greater than λ>0, is bounded from Lp(Rn) to W1,p(Rn) but discontinuous.
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Authors
Hannes Luiro,