We introduce a new model of a block matrix operator M(alpha, beta) induced by two sequences alpha and beta and characterize its p-hyponormality. The model may be viewed as arising from the composition operator C-T on l(+)(2) := L-2 (N-0) induced by a measurable transformation T on the set of nonnegative integers N-0 with point mass measure. Composition operator techniques may then be used to treat the p-hyponormality of M(alpha, beta). Finally, we apply our results to obtain examples of these operators showing the p-hyponormal classes are distinct.
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