Littlewood-Paley theory for triangle buildings (Q1651362)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Littlewood-Paley theory for triangle buildings |
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Littlewood-Paley theory for triangle buildings (English)
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12 July 2018
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On the boundary of a triangle building, the authors consider two-parameter martingales without the Cairoli's \((F_4)\) condition. They prove that the maximal function, the square function and the martingale transforms are bounded on the \(L^{p}\) spaces, whenever \(1<p<\infty\).
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triangle building
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two-parameter martingales
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Cairoli's \((F_4)\) condition
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maximal function
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square function
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martingale transforms
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Heisenberg group.
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