  This note introduces a special class of tuples of bounded operators on a
Hilbert space. It is called the Agler Young class. Major results about this
class include a Wold decomposition and a dilation theorem. The structure of the
dilation is completely spelt out. A characterization of this class using the
hereditary functional calculus of Agler is obtained and examples are discussed.
Toeplitz operators play a major role in this note. An Agler-Young pair arising
from a truncated Toeplitz operator is characterized. Thus, we extend results
obtained in the case of commuting operators by several authors over many
decades to the non-commutative situation. The results for the commuting case
can be recovered as special cases.
