论文标题
乘数乘数,傅立叶步长乘数和准巴纳奇调制空间上的乘法
Step multipliers, Fourier step multipliers and multiplications on quasi-Banach modulation spaces
论文作者
论文摘要
我们证明了一类乘数和傅立叶乘数,特别是希尔伯特变换的傅立叶乘数的界限。我们还推断出在此类空间中元素的乘法和卷积的界限。
We prove the boundedness of a general class of multipliers and Fourier multipliers, in particular of the Hilbert transform, on quasi-Banach modulation spaces. We also deduce boundedness for multiplications and convolutions for elements in such spaces.