Rajendra G. Vya

On the Convolution of Functions of Generalized Bounded Variations

Abstract:
Let $f$ and $g$ be 2$\pi$ periodic functions. If $f\in L^1[0,2\pi]$ and $g$ is from $\bigwedge BV^{(p)}[0,2\pi]$ or, $\Lip(\alpha,p)[0,2\pi]$ or, $r-BV[0,2\pi]$, then $f$ convolution $g$ inherit the same property.

Keywords:
Convolution and $p-\bigwedge$-bounded variation.

MSC 2000: 42A85