Results for fractional bilinear Hardy operators in central varying exponent Morrey space

This paper intends to demonstrate the boundedness of the fractional bilinear Hardy operator and its adjoint on the $ \lambda $-central Morrey space with variable exponents. Analogous outcomes for their commutators are derived when the symbol functions are elements of the $ \lambda $-central bounded...

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Bibliographic Details
Published inAIMS mathematics Vol. 9; no. 11; pp. 29689 - 29706
Main Authors Asim, Muhammad, AlNemer, Ghada
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2024
Subjects
bilinear hardy operators
boundedness
fractional integral
function space
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Summary:This paper intends to demonstrate the boundedness of the fractional bilinear Hardy operator and its adjoint on the $ \lambda $-central Morrey space with variable exponents. Analogous outcomes for their commutators are derived when the symbol functions are elements of the $ \lambda $-central bounded mean oscillation ($ \lambda $-central BMO) space.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.20241438