Journal
REVISTA MATEMATICA IBEROAMERICANA
Volume 29, Issue 2, Pages 495-530Publisher
EUROPEAN MATHEMATICAL SOC
DOI: 10.4171/RMI/728
Keywords
Bilinear Fourier multipliers; Hormander multiplier theorem; Hardy spaces
Categories
Funding
- Grants-in-Aid for Scientific Research [23340034, 24740088] Funding Source: KAKEN
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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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