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Integral operators and partial differential equations in generalized orlicz-morrey spaces

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2023
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Abstract (EN)

Thisthesisconsistsofsixchapters.Inthefirstchapter,basicdefinitions andtheoremsnecessaryforourstudy,inparticularthedefinitionsofOrliczand Orlicz-Morreyspacesaregiven.Insecondchapter,singularintegraloperatorsand commutatorsingeneralizedOrlicz-Morreyspacesareconsidered.Inthethirdchapter, nonsingularintegraloperatorsingeneralizedOrlicz-Morreyspacesarestudied.Inthe fourthchapter,singularintegraloperatorsin VMΦ,φ vanishinggeneralizedOrlicz- Morreyspacesarestudied.Inthesixthchapter,nonsingularintegraloperatorsin VMΦ,φ arestudied.Inthelastsection,thesolution,globalregularityofelliptic differentialequationswithcoefficients VMO andin VMΦ,φ areobtained. Keywords: PartialDifferentialEquations,SingularAndNon-singularIntegralOpera- tors,VanishingGeneralizedOrliczMorreySpaces.

Author

Aysel Ahmadlı

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Aysel Ahmadlı (Doctorate thesis). Integral operators and partial differential equations in generalized orlicz-morrey spaces, 2023, Kütahya Dumlupınar University.

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