论文标题
乘法是在有限的wiener p variation功能的Banach代数中的开放双线性映射
Multiplication is an open bilinear mapping in the Banach algebra of functions of bounded Wiener p-variation
论文作者
论文摘要
令$ bv_p [0,1] $，$ 1 \ le P <\ infty $，是Wiener意义上有界$ p $变化功能的Banach代数。最近，Kowalczyk和Turowska \ Cite {Kt19}证明了$ BV_1 [0,1] $中的乘法是一个开放的双线映射。我们将此结果扩展到[1，\ infty）$中的所有$ p \的所有值。
Let $BV_p[0,1]$, $1\le p<\infty$, be the Banach algebra of functions of bounded $p$-variation in the sense of Wiener. Recently, Kowalczyk and Turowska \cite{KT19} proved that the multiplication in $BV_1[0,1]$ is an open bilinear mapping. We extend this result for all values of $p\in[1,\infty)$.
