A function of bounded mean oscillation is said to have vanish- ing mean oscillation if, roughly speaking, its mean oscillation is locally small, in a uniform sense. In the present paper the class of… Expand

Compressions of Toeplitz operators to coinvariant subspaces of H2 are studied. Several characerizations of such operators are obtained; in particular, those of rank one are described. The paper is… Expand

A sufficient condition is found for the product of two Toeplitz operators to be a compact perturbation of a Toeplitz operator. The condition, which comprehends all previously known sufficient… Expand

Abstract.This partly expository article develops the basic theory of unbounded Toeplitz operators on the Hardy space H2, with emphasis on operators whose symbols are not square integrable. Unbounded… Expand

A theorem of D. Hitt describing certain subspaces of H2 that miss by one dimension being invariant under the backward shift operator is given a new approach and extended.

It is proved in the present paper that if A is a normal Hubert space operator, and if the operator B leaves invariant every invariant subspace of A, then B belongs to the weakly closed algebra… Expand