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 $0$, $q\infty$.
@article{ZNSL_1985_141_a10,
author = {V. A. Tolokonnikov},
title = {Hankel and {Toeplitz} operators in hardy spaces},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {165--175},
publisher = {mathdoc},
volume = {141},
year = {1985},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1985_141_a10/}
}
V. A. Tolokonnikov. 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. http://geodesic.mathdoc.fr/item/ZNSL_1985_141_a10/