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Article

Neugebauer, Christoph J.
Transmission of convergence. (English). In: Opic, Bohumír and Rákosník, Jiří (eds.): Nonlinear Analysis, Function Spaces and Applications, Proceedings of the Spring School held in Prague, July 17-22, 2002. Vol. 7. Czech Academy of Sciences, Mathematical Institute, Praha, 2003. pp. 193-215
MSC: 42B25
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 $|E(f)|\le M$.
References:
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