关于乘子算子的一点注记

A note on multipliers operator

引入了新的g函数gΨ(f)与g*Ψ,λ(f),通过精细的计算得到了两者之间的一个关系式,并由此给出了关于乘子算子的Lp范数的一个不等式。此结果推广了文献[1,2]中的有关结果,并给出了Homander乘子定理的一个新的证明。

Costructed a class of new \%g\%-function \%_Ψ(f)\% and \%~*(Ψ,λ)(f)\%, got a result about these two \%g\%-function by calculation carefully and obtained a \%L^p\%-norm inequality of multiplier operator, which extended some result in \ and \. Also we gave a new proof of 'Hmander multipliers theorem'.