Minimal smoothness conditions for bilinear Fourier multipliers
Minimal smoothness conditions for bilinear Fourier multipliers
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DOI：
10.4171/rmi/728
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发表时间：
2013-04
影响因子：
1.2
通讯作者：
Akihiko Miyachi;Naohito Tomita
中科院分区：
文献类型：
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作者：
Akihiko Miyachi;Naohito Tomita
考虑了在哈代空间H1 × Hp 2到L的乘积空间1/p1 + 1/p2 = 1/p中，寻找尽可能小的双线性Fourier乘子的可微性条件，以保证相应算子的有界性.给出了0 < p1，p2 ≤ ∞范围内乘积型Sobolev范数的极小条件.
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 H1 ×Hp2 to L, 1/p1 + 1/p2 = 1/p, is considered. The minimal conditions in terms of the product type Sobolev norms are given for the whole range 0 < p1, p2 ≤ ∞.