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Rellich, Gagliardo—Nirenberg, Trudinger and Caffarelli—Kohn—Nirenberg inequalities for Dunkl operators and applications

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dc.creator Velicu, Andrei
dc.creator Yessirkegenov, Nurgissa
dc.date 2022-04-01T00:00:00Z
dc.date.accessioned 2023-01-09T12:09:33Z
dc.date.available 2023-01-09T12:09:33Z
dc.identifier ec1a7603-7913-4f81-a73e-e588e18060a3
dc.identifier 10.1007/s11856-021-2261-7
dc.identifier https://avesis.sdu.edu.tr/publication/details/ec1a7603-7913-4f81-a73e-e588e18060a3/oai
dc.identifier.uri http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/98510
dc.description © 2021, The Hebrew University of Jerusalem.In this paper we introduce several extended versions of the classical Caffarelli—Kohn—Nirenberg inequalities. Moreover, we obtain weighted higher order Rellich, weighted Gagliardo—Nirenberg, Caffarelli—Kohn—Nirenberg, Trudinger inequalities and the uncertainty principle for Dunkl operators. Furthermore, we give an application of the Gagliardo—Nirenberg inequality to the Cauchy problem for the nonlinear damped wave equations for the Dunkl Laplacian.
dc.language eng
dc.rights info:eu-repo/semantics/openAccess
dc.title Rellich, Gagliardo—Nirenberg, Trudinger and Caffarelli—Kohn—Nirenberg inequalities for Dunkl operators and applications
dc.type info:eu-repo/semantics/article


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