Multipliers and tensor products of vector valued Lp (G, A) spaces

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Saǧir B.

Taiwanese Journal of Mathematics, cilt.7, sa.3, ss.493-501, 2003 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 7 Sayı: 3
  • Basım Tarihi: 2003
  • Doi Numarası: 10.11650/twjm/1500558400
  • Dergi Adı: Taiwanese Journal of Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.493-501
  • Anahtar Kelimeler: Multipliers, Tensor products, Vector valued Lp (G,A) spaces
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

In this paper we define a normed space Apq, (G, A) and prove some properties of this space. In particular, we show that the space ℒ√ (G, A)⊗L∞(G,A) ℒII (G, A) is isometrically isomorphic to the space Apq (G, A) and the space of multipliers from Lp(G,A) to Lq′ (G, A*) is isometrically isomorphic to the dual of the space A pq, (G, A) if G satisfies a property Pp q.