Convoluters of weighted Orlicz spaces over a locally compact abelian group

Üster R.

Time - frequency representations for function spaces, TIFREFUS, Novi-Sad, Serbia, 11 - 13 April 2022, pp.21

  • Publication Type: Conference Paper / Summary Text
  • City: Novi-Sad
  • Country: Serbia
  • Page Numbers: pp.21
  • Istanbul University Affiliated: No

Abstract

Let G be a locally compact abelian group with Haar measure µ, Φ be a Young function and ! be
a weight.
In this talk first we investigate the closed, convex, invariant subsets of LΦ(G; !). Then we apply
these results to characterize the space of convoluters in terms of commuting operators with translations. We will consider LΦ(G; !) as an Banach L1(G; !)-module with respect to the convolution.
These results generalize the classical results on Lebesgue spaces.