(n1, • • • , nd)-quasi-(p, q)-isometric commuting tuple of operators

In this work we construct the concept based on the extension of n-quasi-p-isometric operators
of a single operator studied in [11, 14] to the multi-dimentional operators. we are introducing some
new interesting results of these family of tuples of operators that are expanding some results of recently
published works based on a single operator.