期刊
REVISTA MATEMATICA IBEROAMERICANA
卷 29, 期 2, 页码 495-530出版社
EUROPEAN MATHEMATICAL SOC
DOI: 10.4171/RMI/728
关键词
Bilinear Fourier multipliers; Hormander multiplier theorem; Hardy spaces
类别
资金
- Grants-in-Aid for Scientific Research [23340034, 24740088] Funding Source: KAKEN
The problem of finding the differentiability conditions for bilinear Fourier multipliers that are as small as possible to ensure the boundedness of the corresponding operators from products of Hardy spaces H-P1 X H-P2 to L-P, 1/p(1) + 1/p(2) = 1/p, is considered. The minimal conditions in terms of the product type Sobolev norms are given for the whole range 0 < p(1),p(2) <= infinity.
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