Trace operators on Wiener amalgam spaces
Jayson Cunanan, Yohei Tsutsui
TL;DR
This paper investigates the properties of trace operators on Wiener amalgam spaces, establishing sharp results and exploring embeddings between standard and anisotropic variants using advanced harmonic analysis techniques.
Contribution
It introduces new sharp results for trace operators on Wiener amalgam spaces and characterizes embeddings between different types of these spaces.
Findings
Sharp trace operator results for Wiener amalgam spaces
Embeddings between standard and anisotropic Wiener amalgam spaces
Use of frequency-uniform decomposition and maximal inequalities
Abstract
The paper deals with trace operators of Wiener amalgam spaces using frequency-uniform decomposition operators and maximal inequalities, obtaining sharp results. Additionally, we provide the embeddings between standard and anisotropic Wiener amalgam spaces.
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Taxonomy
TopicsMathematical Analysis and Transform Methods · Advanced Harmonic Analysis Research · advanced mathematical theories