2026-06-01T05:36:24Zhttps://riuma.uma.es/rest/oai/request

oai:riuma.uma.es:10630/355752026-02-03T10:58:23Zcom_10630_2254col_10630_37953

Weak and Strong Type Estimates for the Multilinear Littlewood–Paley Operators. Cao, Mingming Hormozi, Mahdi Ibañez-Firnkorn, Gonzalo Rivera Ríos, Israel P. Si, Zengyan Yabuta, Kôzô Littlewood-Paley, Teoría de Multilinear square functions Bump conjectures Mixed weak type estimates Local decay estimates Sharp aperture dependence Política de acceso abierto tomada de: https://openpolicyfinder.jisc.ac.uk/id/publication/15634 Let be the multilinear square function defined on the cone with aperture . In this paper, we investigate several kinds of weighted norm inequalities for . We first obtain a sharp weighted estimate in terms of aperture and . By means of some pointwise estimates, we also establish two-weight inequalities including bump and entropy bump estimates, and Fefferman–Stein inequalities with arbitrary weights. Beyond that, we consider the mixed weak type estimates corresponding Sawyer’s conjecture, for which a Coifman–Fefferman inequality with the precise norm is proved. Finally, we present the local decay estimates using the extrapolation techniques and dyadic analysis respectively. All the conclusions aforementioned hold for the Littlewood–Paley function. Some results are new even in the linear case. 2024-12-11T09:32:43Z 2024-12-11T09:32:43Z 2021 journal article AM Cao, M., Hormozi, M., Ibañez-Firnkorn, G. et al. Weak and Strong Type Estimates for the Multilinear Littlewood–Paley Operators. J Fourier Anal Appl 27, 62 (2021). https://doi.org/10.1007/s00041-021-09870-x https://hdl.handle.net/10630/35575 10.1007/s00041-021-09870-x eng open access application/pdf Springer Nature