Abstract:
In this paper one considers some general theorems of the theory of Hankel and Toeplitz operators in spaces of analytic functions. Under natural restrictions on the spaces $X$, it is shown that the symbols of the Toeplitz operators, acting in $X$, are bounded. One describes completely the symbols of the Hankel and Toeplitz operators, acting from $H^p$ into $\overline H^q$ (into $H^q$) for $0<p$, $q<\infty$.