Functional inequalities related to Sobolev, Besov and Morrey spaces in the Dunkl setting

Key Points

• The study establishes the Sobolev inequality within the Dunkl framework, enhancing existing theories.
• Key findings indicate the importance of semigroup theory and nonlocal calculus in understanding functional inequalities.
• Significant functional inequalities related to Besov and Morrey spaces are explored, impacting mathematical applications.
• The results suggest implications for advanced calculus and functional analysis across various mathematical contexts.