Multilinear Square Operators Meet New Weight Functions

2023/03/21 by Chunliang Li, Shuhui Yang, Li, Chunliang +3
Mathematics · #Advanced Harmonic Analysis Research #Approximation Theory and Sequence Spaces #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.2303.11704

Abstract

Via the new weight A _p^θ(φ), the authors introduce a new class of multilinear square operators. The boundedness on the weighted Lebesgue space and the weighted Morrey space is obtained, respectively. Our results include the known results of the standard multilinear square operator and the weight A _p. Moreover, the results in this article seem to be new even for one-linear case.

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