On boundedness of Hardy-Littlewood maximal function operators on Riemannian manifolds (Q1801719)
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scientific article; zbMATH DE number 205750
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On boundedness of Hardy-Littlewood maximal function operators on Riemannian manifolds |
scientific article; zbMATH DE number 205750 |
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On boundedness of Hardy-Littlewood maximal function operators on Riemannian manifolds (English)
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6 April 1994
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The authors construct a simply connected Riemannian manifold \(M\) with sectional curvature \(K_ N\leq 0\), for which the Hardy-Littlewood maximal operator is unbounded in \(L_ p(M)\) for all \(1<p<2\).
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sectional curvature
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Hardy-Littlewood maximal operator
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