On the Boundedness of Integral Operators in Morrey-Type Spaces with Variable Exponents

Bokayev N.A. Onerbek Z.M.
May 2022 Pleiades journals

Siberian Advances in Mathematics
2022 #32 Issue 2 79 - 86 pp.

Abstract: We consider the global Morrey-type spaces (Formula presented.) with variable exponents (Formula presented.) defining these spaces. In the case of unboundedsets (Formula presented.), we prove theboundedness of the Hardy–Littlewood maximal operator and potential-type operator in thesespaces. We prove Spanne-type results on the boundedness of the Riesz potential (Formula presented.) in global Morrey-type spaces with variableexponents (Formula presented.).

boundedness , fractional maximal operator , global Morrey-type space with variable exponents , Riesz potential

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L.N. Gumilyov Eurasian National University, Nur-Sultan, 010008, Kazakhstan

L.N. Gumilyov Eurasian National University

10 лет помогаем публиковать статьи Международный издатель

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