RELATION BETWEEN SOLVABILITY AND A REGULARITY OF CONVOLUTION-OPERATORS IN K'P'P-GREATER-THAN-1

[摘要] Let K(p)' be the space of distributions on R(n) which grow no faster than e(k\x\p for some k > 0 and let O(c)'(K(p); K(p)') be the space of convolution operators in K(p)'. We show that, for S is-an-element-of O(c)'(K(p)'; K(p)'), S K(p)' = K(p)' is equivalent to the following: Every distribution u is-an-element-of O(c)'(K(p)'; K(p)') with S u is-an-element-of K(p)'. (C) 1994 Academic Press, Inc.

[发布日期] 1994-07-01