Paraexponentials, Muckenhoupt weights, and resolvents of paraproducts
Paraexponentials, Muckenhoupt weights, and resolvents of paraproducts
AI总结：
本文研究了Muckenhoupt权重在非线性操作$\lb$-operation下的稳定性，证明了dyadic doubling reverse Hölder类$\RHp$不被保持，而dyadic doubling $A_p$类$\Ap$在$0<\lb <1$时被保持，并应用到dyadic paraproduct算子的残差集结构中。
摘要：
We analyze the stability of Muckenhoupt's $\RHp$ and $\Ap$ classes of weights under a nonlinear operation, the $\lb$-operation. We prove that the dyadic doubling reverse Hölder classes $\RHp$ are not preserved under the $\lb$-operation, but the dyadic doubling $A_p$ classes $\Ap$ are preserved for $0<\lb <1$. We give an application to the structure of resolvent sets of dyadic paraproduct operators.
英文摘要：
We analyze the stability of Muckenhoupt's $\RHp$ and $\Ap$ classes of weights under a nonlinear operation, the $\lb$-operation. We prove that the dyadic doubling reverse Hölder classes $\RHp$ are not preserved under the $\lb$-operation, but the dyadic doubling $A_p$ classes $\Ap$ are preserved for $0<\lb <1$. We give an application to the structure of resolvent sets of dyadic paraproduct operators.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
