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math.FA2019
Hardy-type inequalities for Dunkl operators with applications to many-particle Hardy inequalities
Andrei Velicu
In this paper we study various forms of the Hardy inequality for Dunkl operators, including the classical inequality, inequalities, an improved Hardy inequality, as well as t…
math.FA2018
Sobolev-Type Inequalities for Dunkl Operators
Andrei Velicu
In this paper we study the Sobolev inequality in the Dunkl setting using two new approaches which provide a simpler elementary proof of the classical case , as well as an exte…