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arxiv: 2306.12013 · v1 · pith:ZDYX7MFTnew · submitted 2023-06-21 · 🧮 math.FA

Mixed-norm Herz-slice Spaces and Their Applications

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keywords spacesmixed-normherz-sliceapplicationsblockboundednessclassicaldecomposition
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We introduce mixed-norm Herz-slice spaces unifying classical Herz spaces and mixed-norm slice spaces, establish dual spaces and the block decomposition, and prove that the boundedness of Hardy-Littlewood maximal operator on mixed-norm Herz-slice spaces.

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