带有Besov正则性的双线性乘子定理

Bilinear multiplier theorem with Besov regularity

为了研究具有Besov正则性的傅里叶双线性乘子定理,采用将乘子算子离散成单参数的二进制仿积算子以及弱对偶的方法,得到具有Besov正则性傅里叶双线性乘子算子的有界性,延拓了Tomita和Fujita在乘子算子有界性中的结论.

This article aims to study the Fourier bilinear multiplier theorem with Besov regularity.The method of discretizing the multiplier operator into a single parameter binary convolution operator and weak duality is adopted.We obtain the boundedness of Fourier bilinear multiplier operators with Besov regularity,which extends the conclusion of Tomita and Fujita in reference.