2014 年 66 巻 1 号 p. 55-76
Bilinear Fourier multiplier operators corresponding to multipliers that are singular at the origin are considered. New criterions on such multipliers to assure the boundedness of the corresponding operators from $L^p \times L^q$ to $L^r$, $1/p+1/q=1/r$, are given in the range $1 < p, q\leq \infty$, $2/3 < r < \infty$.
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