Boundedness for Hardy-Littlewood Maximal Operator and Hilbert Transform in Weighted Grand L 1 Space

Gao Hongya,Cui Yi,Liang Shuang

Boundedness for Hardy-Littlewood Maximal Operator and Hilbert Transform in Weighted Grand L 1 Space

2014

Gao Hongya
Cui Yi
Liang Shuang

In this paper we obtain boundedness results for Hardy-Littlewood maximal operator and Hilbert transform in weighted grand L 1 space L 1 ) w () with the weight w 2 A1 .

Keywords:

Unitary operator
Cotlar–Stein lemma
Mathematical analysis
Operator (computer programming)
Multiplication operator
Mathematics
Hilbert transform
Topology
Discrete mathematics
maximal operator

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