Research Information System
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, vol.52, no.5, pp.1198-1205, 2023 (SCI-Expanded, Scopus)
Let A = R+ x R be an affine group with right Haar measure d mu and Phi(i), i = 1, 2, be Young functions. We show that there exists an isometric isomorphism between the multiplier of the pair (L-Phi 1(A), L-Phi 2(A)) and (L-Psi 2(A), L-Psi 1(A)) where Psi(i) are complementary pairs of Phi(i), i = 1, 2, respectively. Moreover we show that under some conditions there is no nonzero multiplier for the pair (L-Phi 1(A), L-Phi 2(A)), i.e., for an affine group A only the spaces M( L-Phi 1(A), L-Phi 2(A)), with a concrete condition, are of any interest.