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

Muhammad Asim; Ghada AlNemer; Muhammad Asim; Ghada AlNemer

doi:10.3934/math.20241438

AIMS Mathematics

2024, Volume 9, Issue 11: 29689-29706. doi: 10.3934/math.20241438

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

Muhammad Asim ^{1,2
,
,},
Ghada AlNemer ^{3
,
,}

1.
Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan
2.
National University of Technology (NUTECH), Islamabad 44000, Pakistan
3.
Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, Saudi Arabia

Received: 05 August 2024 Revised: 26 September 2024 Accepted: 09 October 2024 Published: 21 October 2024
MSC : 42B35, 26D10, 47B38, 47G10

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.
- bilinear Hardy operators,
- fractional integral,
- boundedness,
- function space
Citation: Muhammad Asim, Ghada AlNemer. Results for fractional bilinear Hardy operators in central varying exponent Morrey space[J]. AIMS Mathematics, 2024, 9(11): 29689-29706. doi: 10.3934/math.20241438

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Abstract

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.

References

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