Hankel and Toeplitz operators in hardy spaces
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part XIV, Tome 141 (1985), pp. 165-175
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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
, $q<\infty$.