Spectral theory of multiplication operators on Hardy-Sobolev spaces

Guangfu Cao, Li He, Kehe Zhu

For a pointwise multiplier $\phi$ of the Hardy-Sobolev space $H_{\beta }^2$ on the open unit ball $\bn$ in $\cn$, we study spectral properties of the multiplication operator $M_φ: H^2_β\to H…