Multilinear Square Operators Meet New Weight Functions

Fuente: arXiv
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Main Authors: Li, Chunliang, Yang, Shuhui, Lin, Yan
Format: Preprint
Published: 2023
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author Li, Chunliang
Yang, Shuhui
Lin, Yan
author_facet Li, Chunliang
Yang, Shuhui
Lin, Yan
contents Via the new weight $A_{\vec p}^{θ}(φ)$, 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 $A_{\vec p}$. Moreover, the results in this article seem to be new even for one-linear case.
format Preprint
id arxiv_https___arxiv_org_abs_2303_11704
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Multilinear Square Operators Meet New Weight Functions
Li, Chunliang
Yang, Shuhui
Lin, Yan
Functional Analysis
42B25, 42B35
Via the new weight $A_{\vec p}^{θ}(φ)$, 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 $A_{\vec p}$. Moreover, the results in this article seem to be new even for one-linear case.
title Multilinear Square Operators Meet New Weight Functions
topic Functional Analysis
42B25, 42B35
url https://arxiv.org/abs/2303.11704