Mathematics

On generalization of spaces of Nlcol’sky-Besov and Lizorkin-Triebel type

A. Bagdasaryan

Yerevan State University

Abstract: B and F type spaces that were born by polyhedron G and generalize Nlcol’sky-Besov and Llzorkin-Tribel well known spaces are observed in the present paper. The maximal evaluation is proved, the characteristics of B and F spaces via maximal functions is given, the theorem on F-space function tracks is proved.

UDC: 517.5

Received: 20.04.1990
Accepted: 15.07.1991