Article

MSC: 42B25
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Keywords:
measure; convergence; maximal operator; minimal operator
Summary:
If $E(f)=\{x:\limsup f\star\mu_j(x)>\liminf f\star\mu_j(x)\}$, we examine the type of convergence of $g_k$ to $f$ so that $|E(g_k)|\le M$, $k=1,2,\dots$, implies $|E(f)|\le M$.
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