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Hardy--Littlewood maximal function of \(\tau\)-measurable operators - MaRDI portal

Hardy--Littlewood maximal function of \(\tau\)-measurable operators (Q2497384)

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Hardy--Littlewood maximal function of \(\tau\)-measurable operators
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    Hardy--Littlewood maximal function of \(\tau\)-measurable operators (English)
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    4 August 2006
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    The author considers the so called \(\tau\)-measurable operators in a Hilbert space. He introduces an analogue of the Hardy--Littlewood maximal function for a \(\tau\)-measurable operator and proves some kind of weak \((1,1)\)-type and \((p,p)\)-type estimates for this function.
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    Hardy-Littlewood maximal functions
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    \(\tau\)-measurable operators
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    von-Neumann algebra
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