A remark on the relationship $1/p = 1/p_1 + 1/p_2$ for boundedness of bilinear pseudo-differential operators with exotic symbols

Autor:	Kato, Tomoya, Shida, Naoto
Rok vydání:	2021
Předmět:	Mathematics - Classical Analysis and ODEs 35S05 42B15 42B35
Druh dokumentu:	Working Paper
Popis:	We consider the bilinear pseudo-differential operators with symbols in the bilinear H\"ormander classes $BS_{\rho, \rho}^m$, $0 < \rho < 1$. In this paper, we show that the condition $1/p = 1/p_1 + 1/p_2$ is necessary when we consider the boudnedness from $H^{p_1} \times H^{p_2}$ to $L^p$ of those operators for the critical case. Comment: 10 pages, 2 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2101.10529 Zobrazit plný text záznamu View this record from Arxiv