Some revisited results about composition operators on Hardy spaces

Details Some revisited results about composition operators on Hardy spaces Some revisited results about composition operators on Hardy spaces

2010-01-19

arxiv.org/abs/1001.3328v1

Mathematics

Functional Analysis

21 pages

Scientific paper

We generalize, on one hand, some results known for composition operators on Hardy spaces to the case of Hardy-Orlicz spaces $H^\Psi$: construction of a "slow" Blaschke product giving a non-compact composition operator on $H^\Psi$; construction of a surjective symbol whose composition operator is compact on $H^\Psi$ and, moreover, is in all the Schatten classes $S_p (H^2)$, $p > 0$. On the other hand, we revisit the classical case of composition operators on $H^2$, giving first a new, and simplier, characterization of closed range composition operators, and then showing directly the equivalence of the two characterizations of membership in the Schatten classes of Luecking and Luecking and Zhu.

Affiliated with

Also associated with

No associations

Rating

Some revisited results about composition operators on Hardy spaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Some revisited results about composition operators on Hardy spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Some revisited results about composition operators on Hardy spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-636653