Embedding Theorems for the Dunkl Harmonic Oscillator on the Line
Jes\'us A. \'Alvarez L\'opez, Manuel Calaza
TL;DR
This paper establishes Sobolev embedding theorems for the Dunkl harmonic oscillator on the real line, expanding the mathematical understanding of these operators in harmonic analysis.
Contribution
It provides new Sobolev embedding results specifically for the Dunkl harmonic oscillator, a less-studied operator in harmonic analysis.
Findings
Proved Sobolev embedding theorems for Dunkl harmonic oscillator
Extended classical embedding results to Dunkl operators on the line
Enhanced understanding of function space properties related to Dunkl operators
Abstract
Embedding results of Sobolev type are proved for the Dunkl harmonic oscillator on the line.
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