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Boundedness of the Hardy-Littlewood maximal operator and the Calderon-Zygmund singular integral operators in the generalized MÖorrey spaces

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2022
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Abstract (EN)

This thesis consists of five chapters. The first chapter is devoted to the introduction. In the second chapter, the basic concepts and definitions required in the following chapters and Hardy-Littlewood maximal operator, Calderon-Zygmund singular integral operator are given. In the third chapter, the boundedness of the Hardy-Littlewood maximal operator and Calderon-Zygmund operator in Morrey spaces are given. In the fourth chapter, generalized Morrey spaces, the boundedness of the Hardy-Littlewood maximal operator in generalized Morrey spaces and the boundedness of Calderon-Zygmund Singular Integral operator in generalized Morrey spaces are given.

Author

Suna Ay

How to Cite

Suna Ay (Master Thesis). Boundedness of the Hardy-Littlewood maximal operator and the Calderon-Zygmund singular integral operators in the generalized MÖorrey spaces, 2022, Çankırı Karatekin Üniversitesi.

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