（0,0）型多线性伪微分算子的锐极大函数估计

IF 0.8 3区数学 Q2 MATHEMATICS

Bulletin of the London Mathematical Society Pub Date : 2025-01-28 DOI:10.1112/blms.70003

Bae Jun Park, Naohito Tomita

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引用次数: 0

摘要

本文研究了多线性伪微分算子的锐极大函数估计。我们的目标是类型为（0,0）的运算符，其微分不会导致相关符号的衰减。类型为（ρ, ρ）$ (\rho,\rho)$, 0 <；ρ & lt;1$ 0<\rho <1$出现在作者[17]的早期工作中，但对于ρ =0$ \rho =0$给出了不同的方法。

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Sharp maximal function estimates for multilinear pseudo-differential operators of type (0,0)

In this paper, we study sharp maximal function estimates for multilinear pseudo-differential operators. Our target is operators of type (0,0) for which a differentiation does not make any decay of the associated symbol. Analogous results for operators of type $(ρ, ρ)$ , $0 < ρ < 1$ , appeared in an earlier work of the authors [17], but a different approach is given for $ρ = 0$ .