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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. LOMI, 1985 Volume 141, Pages 165–175 (Mi znsl4186)

This article is cited in 7 papers

Hankel and Toeplitz operators in hardy spaces

V. A. Tolokonnikov


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 $0<p$, $q<\infty$.

UDC: 517.5


 English version:
Journal of Soviet Mathematics, 1987, 37:5, 1359–1364

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