Vector valued Orlicz spaces. II

Michael Samuel Skaff

Vol. 28 (1969), No. 2, 413–430

DOI: 10.2140/pjm.1969.28.413

Abstract

In this paper properties of linear spaces generated by GN-functions, which are called vector valued Orlicz spaces, are studied. The class of GN-functions were introduced and studied by the author in the paper Vector Valued Orlicz Spaces, I. This work extends the usual theory of Orlicz spaces generated by real valued N-functions of a real variable. In particular, GN-functions are a generalization of the variable N-functions used by Portnov and the nondecreasing N-functions by Wang.

Mathematical Subject Classification 2000

Primary: 46E40

Secondary: 46E30

Milestones

Received: 10 July 1968

Published: 1 February 1969