Sharp fractional Hardy's inequality for half-spaces in the Heisenberg group

Haripada Roy

In this work we establish the following fractional Hardy's inequality $$C\int_{\mathbb{H}^n_+}\frac{|f(ξ)|^p}{x_1^{sp+α}}dξ\leq \int_{\mathbb{H}^n}\int_{\mathbb{H}^n}\frac{|f(ξ)-f(…