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Riesz transformations generated with generalized shift operator and the boundedness of classical operators in weighted Lorentz space

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2007
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Abstract (EN)

This thesis consist of five chapters. The first chapter denoted to the fundemental concepts and main theorems. In the second chapter denoted generalized shift operators. Than, given clasical Riesz transform with generalized operators. In the fourth chapter considered weigted Lorentz spaces and boundedness of classical Riesz transform in weighted Lorentz spaces. At last chapter we shown boundedness of some operators in weighted Lorentz space. Keywords: Lorentz spaces, Riesz transform, Weighted Lorentz spaces.

Author

Ahmet Coşkun

How to Cite

Ahmet Coşkun (Master Thesis). Riesz transformations generated with generalized shift operator and the boundedness of classical operators in weighted Lorentz space, 2007, Kütahya Dumlupınar University.

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