双线性Fourier乘子算子与Morrey空间

Bilinear Fourier Multiplier Operator on Morrey Spaces

中文关键词:  双线性Fourier乘子  Morrey空间  加权模不等式.

英文关键词:bilinear Fourier multiplier  Morrey space  weighted norm inequality.

中文摘要:

      本文通过建立双(次)线性算子在Morrey空间上的性质以及建立双线性Fourier乘子算子的带一般权函数的加权估计,研究了乘子具有某类Sobolev正则性的双线性Fourier乘子算子在Morrey空间的乘积上的性质.

英文摘要:

      In this paper, by establishing a result concerning the mapping properties for bi(sub)linear operators on Morrey spaces, and the weighted estimates with general weights for the bilinear Fourier multiplier, the author establishes some results concerning the behavior on the product of Morrey spaces for bilinear Fourier multiplier operator with associated multiplier $\sigma$ satisfying certain Sobolev regularity.