In this paper, the notion of $\it{weighted~Toep-Hank}$ operator $G_{\phi}^{\beta}$, induced by the symbol $\phi\in L^{\infty}(\beta)$, onthe space $H^2(\beta)$, $\beta=\{\beta_n\}_{n\in \mathbb{Z}}$ beinga semi-dual sequence of positive numbers with $\beta_0=1$, isintroduced. Symbols are identified for the induced$\it{weighted~Toep-Hank}$ operator to be co-isometry, normal andhyponormal.
@article{7018,
title = {Operators induced by weighted Toeplitz and weighted Hankel operators},
journal = {Novi Sad Journal of Mathematics},
volume = {48},
year = {2018},
language = {EN},
url = {http://dml.mathdoc.fr/item/7018}
}
Datt, Gopal; Mittal, Anshika. Operators induced by weighted Toeplitz and weighted Hankel operators. Novi Sad Journal of Mathematics, Tome 48 (2018) . http://gdmltest.u-ga.fr/item/7018/