Makale detayı · 1990
On a family of weighted convolution algebras
Dergi
International Journal of Mathematics and Mathematical Sciences- Yıl
- 1990
- Tür
- article
Veri kaynağı ayrımı
- YÖKSİS dergi adı International Journal of Mathematics and Mathematical Sciences
- OpenAlex OpenAlex zenginleştirmesi (özet, atıf, konular)
Özet
OpenAlex · İngilizce
Continuing a line of research initiated by Larsen, Liu and Wang [12], Martin and Yap [13], Gürkanli [15], and influenced by Reiter′s presentation of Beurling and Segal algebras in Reiter [2,10] this paper presents the study of a family of Banach ideals of Beurling algebras , G a locally compact Abelian group. These spaces are defined by weighted Lp‐conditions of their Fourier transforms. In the first section invariance properties and asymptotic estimates for the translation and modulation operators are given. Using these it is possible to characterize inclusions in section 3 and to show that two spaces of this type coincide if and only if their parameters are equal. In section 4 the existence of approximate identities in these algebras is established, from which, among other consequences, the bijection between the closed ideals of these algebras and those of the corresponding Beurling algebra is derived.
Konular
Atıflar
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Yerel katalogda bu makaleye atıf yapan 25 yayın (OpenAlex referans eşleşmesi; tam dünya listesi değildir).
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- On Lorentz mixed normed modulation spaces 2012
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