Properties of differential forms innreal variables

著者: Henry B. Mann, Josephine Mitchell, Lowell Schoenfeld - Pacific Journal of Mathematics 1967 被引用: 20

We prove the following theorem. Let Jz? x be a homogeneous elliptic operator of the second order with constant coefficients. Let / be a Lebesgue integrable solution of J2^[/(X)] -0 for all X in some neighborhood of the point A in the Euclidean space E n . Let X = (x f , x n ) and H = (h u , fe). Then for each p=l, 2, the homogeneous polynomial <p p (H;f) defined by <n(