Boundedness of integral operators associated with schrödinger operators in local generalized morrey spaces
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Abstract (EN)
Thisthesisconsistsoffourchapters.Thefirstisdevotedtotheintroduction. In thefirstchapter,basicdefinitionsandtheoremsnecessaryforourstudyinparticu- lar,thedefinitionsof BMO, Morrey,generalizedMorreyspaces,Maksimaloperator, CalderonZygmundsingularintegraloperatorsandRieszpotentialsaregiven.Inthe secondchapter,theSchr¨odingeroperatorandthecorrespondingfunctionspacesare given.Inthethirdsection,theboundednessofsomeintegraloperatorscorresponding totheSchr¨odingeroperatorinstudiedonlocallygeneralizedMorreyspaces.Inthe lastsection,theboundednessofCalderon-Zygmundoperatorsandtheircommutators isprovedonvanishinggeneralizedMoreyspacescorrespondingtoSchr¨odingeroperator. Keywords: Schr¨odingeroperators,GeneralizedlocalMorreyspaces,Calderon-Zygmund operators,Commutators.
Author
Ramın Gulıyev
How to Cite
Ramın Gulıyev (Doctorate thesis). Boundedness of integral operators associated with schrödinger operators in local generalized morrey spaces, 2023, Kütahya Dumlupınar University.
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