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Boundedness of commutators of fractional integral operators on Morrey-type spaces associated with Scöhrdinger operators on the heisenberg groups

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2024
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Abstract (EN)

In this master's thesis, information will be given about the boundedness of the commutators of fractional integral operators corresponding to Schrödinger operators in Heisenberg groups in Morrey type spaces. In the first part, information is given about many mathematicians who have done research on this subject in the literature and the purpose of this study is mentioned. In the second part, some basic definitions and characteristics of the thesis will be given. In the third part, brief information is given about the materials and methods related to the thesis topic. In the fourth part, some information about Heisenberg groups, the Schrödinger operator and the Morrey spaces corresponding to the Schrödinger operator are given, and some information is given about the basic definitions and properties of the Schrödinger operators defined in Heisenberg groups. Information is given about the limitations of commutators of fractional integral operators in Morrey type spaces. In the last part, the purpose and objective of researching the thesis topic is briefly mentioned.

Author

Ecem Pıtraklı Vural

How to Cite

Ecem Pıtraklı Vural (Master Thesis). Boundedness of commutators of fractional integral operators on Morrey-type spaces associated with Scöhrdinger operators on the heisenberg groups, 2024, Kırşehir Ahi Evran University.

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