Vol. 43, No. 1, 1972

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On spaces of distributions strongly regular with respect to partial differential operators

Zbigniew Zielezny

Vol. 43 (1972), No. 1, 267–275
Abstract

A distribution T in Ω is said to be strongly regular with respect to the differential operator P(D), if Pk(D)T,k = 0,1, , are of bounded order in any open set Ω′⊂⊂ Ω. Necessary and sufficient conditions on the polynomials P and Q are established in order that a distribution T strongly regular with respect to P(D) be strongly regular with respect to Q(D).

Mathematical Subject Classification
Primary: 35H05
Milestones
Received: 16 July 1971
Published: 1 October 1972
Authors
Zbigniew Zielezny