ATOMIC DECOMPOSITION AND SEQUENCE INTERPOLATION ON BERGMAN SPACE A

Let D={z:|z|<1}be the unit disk in the finite complex plane C,and A the set of func-tions analytic on D.Bergman space A~1={f:f∈A,‖f‖_1=∫_D|f|dm<∞}.A new atomic“de-composition”for A~1 is obtained,and more the interpolating problem is solvable in A~1 undercertain conditions.