This paper demonstrates the boundedness of the fractional bilinear Hardy operator and its adjoint on weighted $ \rlap{-} \lambda $-central Morrey spaces with a variable exponent. Analogous outcomes for their commutators were derived when the symbol functions are elements of the weighted $ \rlap{-} \lambda $-central bounded mean oscillation ($ \rlap{-} \lambda $-central BMO) spaces.
Citation: Muhammad Asim, Ghada AlNemer. Analytical findings on bilinear fractional Hardy operators in weighted central Morrey spaces with variable exponents[J]. AIMS Mathematics, 2025, 10(5): 10431-10451. doi: 10.3934/math.2025475
This paper demonstrates the boundedness of the fractional bilinear Hardy operator and its adjoint on weighted $ \rlap{-} \lambda $-central Morrey spaces with a variable exponent. Analogous outcomes for their commutators were derived when the symbol functions are elements of the weighted $ \rlap{-} \lambda $-central bounded mean oscillation ($ \rlap{-} \lambda $-central BMO) spaces.
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Muhammad Asim, Ghada AlNemer. Analytical findings on bilinear fractional Hardy operators in weighted central Morrey spaces with variable exponents[J]. AIMS Mathematics, 2025, 10(5): 10431-10451. doi: 10.3934/math.2025475
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