Abstract
A simple proof that M z {M_z} on P 2 ( Ī¼ ) {P^2}(\mu ) has a nontrivial invariant subspace is given. If P 2 ( Ī¼ ) ā L 2 ( Ī¼ ) {P^2}(\mu ) \ne {L^2}(\mu ) and if Ī¼ \mu has "thin" support, then P 2 ( Ī¼ ) {P^2}(\mu ) has bounded point evaluations.
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