A note on the strong maximal operator on
Volume 165 / 2004
Studia Mathematica 165 (2004), 291-294
MSC: Primary 42B25; Secondary 42B35.
DOI: 10.4064/sm165-3-6
Abstract
We prove that for f\in L\mathop {\rm ln}\nolimits ^{+}L({\mathbb R}^n) with compact support, there is a g\in L\mathop {\rm ln}\nolimits ^{+}L({\mathbb R}^n) such that (a) g and f are equidistributed, (b) M_S(g)\in L^1(E) for any measurable set E of finite measure.
