Wiener amalgam spaces with respect to orlicz spaces on the affine group


ARIS B., ÖZTOP KAPTANOĞLU S.

JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, vol.14, no.2, 2023 (SCI-Expanded) identifier identifier

Abstract

Let A be the affine group, phi be a Young function and L-phi)(A) be the correspond-ing Orlicz space. We study the Orlicz amalgam spaces W(L-phi)(A), L-1(A)) and W(L-infinity(A), L-phi)(A)), where the local components are L-phi)(A), L-infinity(A) and the global components are L-1(A), L-phi)(A), respectively. We obtain an equivalent discrete-type norm on the spaces W (L-phi)(A), L-1(A)) and W(L-infinity(A), L-phi)(A)). This allows us to prove new convolution relations.