The endpoint Fefferman-Stein inequality for the strong maximal function with respect to nondoubling measure

The endpoint Fefferman-Stein inequality for the strong maximal function with respect to nondoubling measure
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DOI:
10.22436/jnsa.011.11.07
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发表时间:
2018-09
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通讯作者:
Wei Ding
Wei Ding
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文献类型:
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作者:
Wei Ding

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令dμ(x1,…), xn) = dμ1(x1)···dμn(xn)是一个不一定在Rn上翻倍的积测度(仅假设当i = 2时,dμi在R上翻倍,…),n),且Mdμ是由Mdμf(x) = sup x∈R∈R 1 μ(R)∫定义的强极大函数
Let dμ(x1, . . . , xn) = dμ1(x1) · · ·dμn(xn) be a product measure which is not necessarily doubling in Rn (only assuming dμi is doubling on R for i = 2, . . . ,n), and Mdμ be the strong maximal function defined by Mdμf(x) = sup x∈R∈R 1 μ(R) ∫