Abstract. The symbols of invertible Toeplitz operators from $H^p(wd\theta /2\pi )$ to $L^p(wd\theta /2\pi )/e^{-i\theta }{\bar H}^p(wd\theta /2\pi )$ are described completely where $H^p(wd\theta /2\pi )$ denotes a weighted Hardy space. The result is strongly related with a weighted norm inequality. If the weight $w$ satisfies the condition $(A_p)$ then $L^p(wd\theta /2\pi )/e^{-i\theta }{\bar H}^p(wd\theta /2\pi )=H^p(wd\theta /2\pi )$ with equivalent norms.

AMS Subject Classification (1991): 47B35

Received August 18, 1992. (Registered under 5560/2009.)