Multilinear singular and fractional integral operators on weighted Morrey spaces
Hua Wang, Wentan Yi
TL;DR
This paper investigates the boundedness of multilinear Calderon--Zygmund operators and fractional integrals on weighted Morrey spaces, expanding understanding of their behavior in complex function spaces.
Contribution
It introduces new boundedness results for multilinear operators on weighted Morrey spaces with multiple weights, a novel extension in harmonic analysis.
Findings
Boundedness of multilinear Calderon--Zygmund operators established
Boundedness of multilinear fractional integrals demonstrated
Results applicable to weighted Morrey spaces with multiple weights
Abstract
In this paper, we will study the boundedness properties of multilinear Calderon--Zygmund operators and multilinear fractional integrals on products of weighted Morrey spaces with multiple weights.
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Advanced Mathematical Physics Problems · Nonlinear Partial Differential Equations