Wiener amalgam spaces of quasianalytic ultradistributions

2022/10/20 by Dimovski, Pavel, Prangoski, Bojan
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2210.11303

Abstract

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 C₀ 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.

Related

• Wiener Amalgam Spaces with respect to Quasi-Banach Spaces
• Wiener-Luxemburg amalgam spaces
• Trace operators on Wiener amalgam spaces
• Dilation estimates for Wiener amalgam spaces of Orlicz type
• Sharp embedding between Wiener amalgam and some classical spaces