Dilation estimates for Orlicz amalgam spaces on the affine group

ARIS B.

GEORGIAN MATHEMATICAL JOURNAL, 2025 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Publication Date: 2025
  • Doi Number: 10.1515/gmj-2025-2056
  • Journal Name: GEORGIAN MATHEMATICAL JOURNAL
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Istanbul University Affiliated: Yes

Abstract

Let A be the affine group and let Phi 1 , Phi 2 be Young functions. We study the Orlicz amalgam spaces W ( L Phi 1 ( A ) , L Phi 2 ( A ) ) defined on A , where the local and global component spaces are the Orlicz spaces L Phi 1 ( A ) and L Phi 2 ( A ), respectively. In this paper, we obtain norm estimates of the dilation operator on the amalgam space W ( L Phi 1 ( A ) , L Phi 2 ( A ) ) using constructions related to the affine group A .