English

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

Analysis of PDEs 2024-05-06 v1 Classical Analysis and ODEs

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 (\rho, \rho), 0 < \rho < 1, appeared in an earlier work of the authors, but a different approach is given for \rho = 0

Cite

@article{arxiv.2405.02093,
  title  = {Sharp Maximal function estimates for Multilinear pseudo-differential operators of type (0,0)},
  author = {Bae Jun Park and Naohito Tomita},
  journal= {arXiv preprint arXiv:2405.02093},
  year   = {2024}
}
R2 v1 2026-06-28T16:15:33.262Z