Riesz potentials of functions in L^{p}

İlyas Dal

Master'sOpen Access

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Riesz potentials of functions in L^{p}

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2006

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Advisor: Yrd. Doç. Dr. Hüseyin Yıldırım

Abstract (EN)

This thesis consists of â¦ve chapter. In the â¦rst chapter, all the necessarydeâ¦nitions and basic theorems for this study have been given. In the sec-ond chapter, Riesz Potentials, Fourier Transformation, relationships betweenRiesz Potentials and Fourier Transformation and semi group properties of theRiesz Potential, in the third chapter the Lp inequality for Riesz Potentialsand Hardy-Littlewood-sobolev theorem, in the fourth chapter a generalized ofRiesz Potentials generated by the Riesz kernel and in the â¦fth chapter thegeneralized of the none-izotropic Riesz Potentials was given.2006, Page : 53KEY WORDS : Riesz Potential, Singular Integrals, none-izotropic dis-tance, Fourier transformation.ii

Author

İlyas Dal

Institution

Afyon Kocatepe University

Institute of Graduate Studies in Science

Mathematics

How to Cite

İlyas Dal (Master Thesis). Riesz potentials of functions in L^{p}, 2006, Afyon Kocatepe University.

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Riesz potentials of functions in L^{p}

Abstract (EN)

Author

Institution

How to Cite

Keywords

License

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