The Hardy–Littlewood Maximal Operator

The Hardy–Littlewood Maximal Operator
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DOI:
10.1007/978-3-0348-0840-8_3
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发表时间:
2014
期刊:
--
影响因子:
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通讯作者:
D. Cruz-Uribe;A. Fiorenza;Michael Ruzhansky;J. Wirth
D. Cruz-Uribe;A. Fiorenza;Michael Ruzhansky;J. Wirth
中科院分区:
其他
文献类型:
--
作者:
D. Cruz-Uribe;A. Fiorenza;Michael Ruzhansky;J. Wirth

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In this chapter we begin the study of harmonic analysis on variable Lebesgue spaces. Our goal is to determine the behavior of some of the classical operators of harmonic analysis—approximate identities, singular integrals, and Riesz potentials. The foundation for this is the Hardy-Littlewood maximal operator, which is the subject of Chaps. 3  and  4 .