Dilation estimates for Orlicz amalgam spaces on the affine group

ARIS B.

GEORGIAN MATHEMATICAL JOURNAL, cilt.33, sa.1, ss.7-17, 2026 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 33 Sayı: 1
  • Basım Tarihi: 2026
  • Doi Numarası: 10.1515/gmj-2025-2056
  • Dergi Adı: GEORGIAN MATHEMATICAL JOURNAL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Sayfa Sayıları: ss.7-17
  • Anahtar Kelimeler: affine group, dilation operator, Orlicz spaces, Wiener amalgam spaces
  • İstanbul Üniversitesi Adresli: Evet

Özet

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 .