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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:ACCEPTED

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
05 Feb 20251st Revision Received
07 Feb 2025Assigned to Editor
07 Feb 2025Submission Checks Completed
07 Feb 2025Review(s) Completed, Editorial Evaluation Pending
10 Feb 2025Reviewer(s) Assigned
11 Feb 2025Editorial Decision: Accept