Wiener amalgam spaces of quasianalytic ultradistributions

被引：1

作者：

Dimovski, Pavel ^{[1
]}

Prangoski, Bojan ^{[2
]}

机构：

[1] Ss Cyril & Methodius Univ Skopje, Fac Technol & Met, Ruger Boskovic 16, Skopje 1000, North Macedonia

[2] Ss Cyril & Methodius Univ Skopje, Fac Mech Engn, Karpos 2 Bb, Skopje 1000, North Macedonia

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2023年 / 519卷 / 02期

关键词：

Wiener amalgam spaces; Modulation spaces; Gelfand-Shilov ultradistributions; Translation and modulation invariant Banach spaces; Uniformly concentrated partitions of unity; Bounded uniform partitions of unity; BANACH-SPACES; PSEUDODIFFERENTIAL-OPERATORS; MODULATION; DISTRIBUTIONS; TRANSFORM; ALGEBRAS;

D O I：

10.1016/j.jmaa.2022.126847

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We define Wiener amalgam spaces of (quasi)analytic ultradistributions whose local components belong to a general class of translation and modulation invariant Banach spaces of ultradistributions and their global components are either weighted L-p or weighted C-0 spaces. We provide a discrete characterisation via so called uniformly concentrated partitions of unity. Finally, we study the complex interpolation method and we identify the strong duals for most of these Wiener amalgam spaces. (c) 2022 Elsevier Inc. All rights reserved.

引用

页数：25

共 42 条

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