Fractional Hardy's inequality for half spaces in the Heisenberg group

Rama Rawat, Haripada Roy

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