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Hankel and Toeplitz operators on Hardy spaces. (Russian. English summary) Zbl 0579.47023
Some spaces of analytic functions are introduced and some theorems concerning the theory of Toeplitz and Hankel operators on these spaces are investigated. The main result is theorem 4, where the symbols of Toeplitz and Hankel operators from $$H^ p$$ to $$H^ q$$ $$(0<p,q\leq +\infty)$$ are completely described. Under natural restrictions on a function space it is shown that the symbols of Toeplitz operators are bounded.
Reviewer: V.Deundjak

##### MSC:
 47B35 Toeplitz operators, Hankel operators, Wiener-Hopf operators 46J15 Banach algebras of differentiable or analytic functions, $$H^p$$-spaces