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

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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Abstract

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 $ρ = 0$ .