Sharp Maximal function estimates for Multilinear pseudo-differential operators of type (0,0)

2024/05/03 by Bae Jun Park, Naohito Tomita, Park, Bae Jun +1
Mathematics · #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.2405.02093

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, but a different approach is given for ρ= 0

Citations

• New maximal functions and multiple weights for the multilinear Calderón–Zygmund theory
• Boundedness of multilinear pseudo-differential operators with symbols in the Hörmander class S0,0
• Sharp maximal function estimates for linear and multilinear pseudo-differential operators
• A local version of real Hardy spaces

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• Sharp estimates for pseudo-differential operators of type (1,1) on\n Triebel-Lizorkin and Besov spaces