The Fefferman–Stein Type Inequalities for Strong Fractional Maximal Operators

The Fefferman–Stein Type Inequalities for Strong Fractional Maximal Operators
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DOI:
10.1007/s00025-018-0927-1
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发表时间:
2018-11
影响因子:
2.2
通讯作者:
Hiroki Saito;Hitoshi Tanaka
Hiroki Saito;Hitoshi Tanaka
中科院分区:
数学3区
文献类型:
--
作者:
Hiroki Saito;Hitoshi Tanaka

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利用极大算子的附加复合而不是利用强Muckenhoupt权证明了强分数次极大算子的Festhiman-Stein型不等式.对于任意的权,在,我们建立了端点估计,在,,我们给出了弱(p,p)型估计。我们还研究了酪蛋白的高维数。
We prove the Fefferman–Stein type inequalities for strong fractional maximal operators by additional compositions of certain maximal operators instead of using the strong Muckenhoupt weight. With an arbitrary weight, in, we establish an endpoint estimate and in,, we give a weak (p,p) type estimate for. We also investigate the casein higher dimensions.