We present a new approach to the study of singular multi-parameter multilinear Fourier multipliers via multiple vector-valued inequalities. This summarizes some of our results from [1] and [2]. The main example is the bi-parameter paraproduct , for which we prove estimates within the whole range of admissible Lebesgue estimates.
@incollection{JEDP_2016____A2_0,
author = {Cristina Benea and Camil Muscalu},
title = {Mixed-norm estimates for paraproducts},
booktitle = {},
series = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
note = {talk:2},
pages = {1--10},
publisher = {Groupement de recherche 2434 du CNRS},
year = {2016},
doi = {10.5802/jedp.643},
language = {en},
url = {https://proceedings.centre-mersenne.org/articles/10.5802/jedp.643/}
}
TY - JOUR AU - Cristina Benea AU - Camil Muscalu TI - Mixed-norm estimates for paraproducts JO - Journées équations aux dérivées partielles N1 - talk:2 PY - 2016 SP - 1 EP - 10 PB - Groupement de recherche 2434 du CNRS UR - https://proceedings.centre-mersenne.org/articles/10.5802/jedp.643/ DO - 10.5802/jedp.643 LA - en ID - JEDP_2016____A2_0 ER -
%0 Journal Article %A Cristina Benea %A Camil Muscalu %T Mixed-norm estimates for paraproducts %J Journées équations aux dérivées partielles %Z talk:2 %D 2016 %P 1-10 %I Groupement de recherche 2434 du CNRS %U https://proceedings.centre-mersenne.org/articles/10.5802/jedp.643/ %R 10.5802/jedp.643 %G en %F JEDP_2016____A2_0
Cristina Benea; Camil Muscalu. Mixed-norm estimates for paraproducts. Journées équations aux dérivées partielles (2016), Exposé no. 2, 10 p. doi : 10.5802/jedp.643. https://proceedings.centre-mersenne.org/articles/10.5802/jedp.643/
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