GENERALIZED WEIGHTED HARDY OPERATORS AND THEIR COMMUTATORS IN THE LOCAL ”COMPLEMENTARY” GENERALIZED VARIABLE EXPONENT WEIGHTED MORREY SPACES

CANAY AYKOL, ZULEYXA O. AZIZOVA, , JAVANSHIR HASANOV

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Source: Crossref

Published: Mar 30, 2022

DOI: 10.54379/jma-2022-1-2

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Source abstract

In this paper we study the boundedness of weighted Hardy operators Hα u and Hα u in local ”complementary” generalized variable exponent weighted Morrey spaces {M p(·),ω,ϕ {0} , characterized by variable exponent p(x), a general function ω(r) and a weight ϕ. We also study the boundedness of the commutators of Hα u and Hα u in the spaces {M p(·),ω,ϕ {0} .

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