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The boundedness of the Hardy-Littlewood maximal operator in the variable exponent lebesgue space

2017
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Advisor: Doç. Dr. Yusuf Zeren

Abstract (EN)

This thesis work consists of five chapters. The first chapter includes the introduction chapter. In the second chapter basic definitions and theorems are mentioned. In the third chapter definition and theorems of the Hardy-Littlewood maximal operator and the boundedness of the Hardy-Littlewood maximal operator in the classical lebesgue spaces are mentioned. In the fourth chapter the boundedness of the Hardy-Littlewood maximal operator in the variable exponent lebesgue space and the boundedness of the fractıonal maximal operator in the weighted variable exponent lebesgue space are mentioned. In the last chapter the results and proposals are given.

Author

Müberra Dikmen

How to Cite

Müberra Dikmen (Master Thesis). The boundedness of the Hardy-Littlewood maximal operator in the variable exponent lebesgue space, 2017, Yıldız Technical University.

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