## Proceedings of the American Mathematical Society
/ v.127 no.5. 1999, pp.1483-1491

Author :

Abstract :
We consider composition operators on Hardy spaces of a half-plane. We mainly study boundedness and compactness. We prove that on these spaces there are no compact composition operators.

Keyword :
Primary 47B38 . Secondary 47B10 . Composition operator . Hardy space . Compact operator

We establish the following result. Theorem. Let $\alpha $ : G $\rightarrow {\cal L}$ (X) ..

We study the double trigonometric series whose coefficients c $_{jk}$ are such that $\sum_..

We describe the dynamics of a class of second order periodic differential equations whose mai..

We consider the set of CR functions on a connected tube submanifold of C $^{n}$ satisfying ..

For a general Sturm-Liouville operator with nonnegative coefficients, we obtain two-sided est..

We give an elementary proof of the principle of local reflexivity.

Let A be a TAF-algebra, Z(A) the centre of A, Id(A) the ideal lattice of A, and Mir(A) the sp..

It is shown that if the Banach space operator T has regular norm-sequence, its vector orbits ..

Two properties of subspaces of Banach algebras are introduced. These are closely related to M..

Least-perimeter enclosures of prescribed area on hyperbolic surfaces are characterized.