Trace operators of modulation, alpha modulation and Besov spaces

TL;DR

This paper investigates the trace theorems for modulation, alpha modulation, and Besov spaces, providing sharp results specifically for modulation spaces, thereby advancing the understanding of boundary behavior in these function spaces.

Contribution

It offers the first sharp trace theorem results for modulation spaces, extending the theory to alpha modulation and Besov spaces.

Findings

Sharp trace theorem for modulation spaces established

Extension of trace results to alpha modulation and Besov spaces

Enhanced understanding of boundary behavior in these function spaces

Abstract

In this paper, we consider the trace theorem for modulation spaces, alpha modulation spaces and Besov spaces. For the modulation space, we obtain the sharp results.