# zbMATH — the first resource for mathematics

A model for some analytic Toeplitz operators. (English) Zbl 0766.47007
Let $$G$$ be a bounded plane domain, $$f\in H^ \infty(G)$$ a nonconstant function, $$\Omega=f(G)$$, and $$T_ f$$ the multiplication by $$f$$ acting on the Hardy space $$H^ p(G)$$, $$1\leq p<\infty$$. Using a change of variable method, the author gives some sufficient conditions such that the operator $$T_ f$$ is isometrically equivalent to a bundle shift over $$\Omega$$, and some applications on essential spectra.
Reviewer: B.D.Khanh (Paris)
##### MSC:
 47B35 Toeplitz operators, Hankel operators, Wiener-Hopf operators 46J15 Banach algebras of differentiable or analytic functions, $$H^p$$-spaces 47A15 Invariant subspaces of linear operators
Full Text: