某些加权Amalgam空间上$θ$型Calderόn-Zygmund算子和线性换向子的一些估计

IF 0.4 Q4 MATHEMATICS

Analysis in Theory and Applications Pub Date : 2022-06-01 DOI:10.4208/ata.oa-2020-0034

Huan Wang

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引用次数: 1

摘要

本文首先介绍了几种新的加权汞合金空间。然后讨论了一类Calderón-Zygmund类型算子t1在这些新的加权空间中的强类型估计和弱类型估计。建立了由b和θ构成的线性换向子[b， θ]的强型估计和端点估计。研究了加权汞合金空间中关于Tθ和[b, Tθ]的二权弱型不等式的相关问题，并给出了一些结果。

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Some Estimates for $θ$-type Calderόn–Zygmund Operators and Linear Commutators on Certain Weighted Amalgam Spaces

In this paper, we first introduce some new kinds of weighted amalgam spaces. Then we discuss the strong type and weak type estimates for a class of Calderón–Zygmund type operators Tθ in these new weighted spaces. Furthermore, the strong type estimate and endpoint estimate of linear commutators [b, Tθ ] formed by b and Tθ are established. Also we study related problems about two-weight, weak type inequalities for Tθ and [b, Tθ ] in the weighted amalgam spaces and give some results.

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来源期刊

Analysis in Theory and Applications

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发文量

747