Weighted variable exponent amalgam spaces W(LP(X),LQW)

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Aydin I., Turan Gürkanli A.

Glasnik Matematicki, cilt.47, sa.1, ss.165-174, 2012 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 47 Sayı: 1
  • Basım Tarihi: 2012
  • Doi Numarası: 10.3336/gm.47.1.14
  • Dergi Adı: Glasnik Matematicki
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.165-174
  • Anahtar Kelimeler: Hardy-Littlewood maximal function, Variable exponent Lebesgue space, Wiener amalgam space
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Ondokuz Mayıs Üniversitesi Adresli: Hayır

Özet

In the present paper a new family of Wiener amalgam spaces W(LP(X),LQW) is defined, with local component which is a variable exponent Lebesgue space LP(X)(ℝn) and the global component is a weighted Lebesgue space LQW(ℝn). We proceed to show that these Wiener amalgam spaces are Banach function spaces. We also present new Hölder-type inequalities and embeddings for these spaces. At the end of this paper we show that under some conditions the Hardy-Littlewood maximal function is not mapping the space W(LP(X),LQW) into itself.