Analysis uncovers Sobolev inequalities in the Dunkl setting, highlighting applications to Besov and Morrey spaces.
In this paper we investigate the Sobolev inequality in the Dunkl setting using the semigroup theory and a nonlocal calculus for the fractional Dunkl operator. As an application and improvement, we further study some important functional inequalities related to Besov spaces and Morrey spaces.
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Wang et al. (2025) studied this question.
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