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Boundedness Criteria for the Multilinear Riemann-Liouville Operators
  • David E. Edmunds,
  • Alexander Meskhi,
  • Lazare Natelashvili
David E. Edmunds
University of Brighton
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Alexander Meskhi
Ivane Javakhishvili Tbilisi State University

Corresponding Author:alexander.meskhi@kiu.edu.ge

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Lazare Natelashvili
Free University of Tbilisi
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Abstract

We establish necessary and sufficient conditions for a weight v guaranteeing the boundedness of multilinear Riemann-Liouville operators from ∏ j = 1 m L p j to L v q .

Peer review status:IN REVISION

17 Oct 2024Submitted to Mathematical Methods in the Applied Sciences
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21 Oct 2024Submission Checks Completed
21 Oct 2024Assigned to Editor
07 Nov 2024Review(s) Completed, Editorial Evaluation Pending
19 Nov 2024Reviewer(s) Assigned
22 Jan 2025Editorial Decision: Revise Minor