INCLUSION THEOREMS IN THE FUNCTION SPACES WITH WIGNER TRANSFORM

Year 2022, Volume: 5 Issue: 2, 95 - 104, 31.07.2022

Öznur Kulak , Arzu Ömerbeyoğlu

https://doi.org/10.33773/jum.1134775

Abstract

In this paper, we consider inclusion relations of $CW_{\omega _{1},\omega
_{2},\omega _{3},\omega _{4}}^{p,q,r,s,\tau }\left(
%TCIMACRO{\U{211d} }%
%BeginExpansion
\mathbb{R}
%EndExpansion
\right) $ spaces of functions whose Wigner transforms are in weighted
Lebesgue spaces. We then discuss compact embeddings theorems between these
function spaces.

Keywords

Compact embedding, inclusion, Wigner transform

Supporting Institution

Giresun University

Project Number

FEN-BAPC-150219-01

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