<i>L</i><sup><i>p</i></sup>Hardy's identities and inequalities for Dunkl operators
<i>L</i><sup><i>p</i></sup>Hardy's identities and inequalities for Dunkl operators
Abstract The main purpose of this article is to establish the <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"><m:msup><m:mrow><m:mi>L</m:mi></m:mrow><m:mrow><m:mi>p</m:mi></m:mrow></m:msup></m:math> {L}^{p} Hardy’s identities and inequalities for Dunkl operator on any finite balls and the entire space <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"><m:msup><m:mrow><m:mi mathvariant="double-struck">R</m:mi></m:mrow><m:mrow><m:mi>N</m:mi></m:mrow></m:msup></m:math> {{\mathbb{R}}}^{N} . We also prove Hardy’s identities and inequalities on certain domains with distance function to the boundary …