Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials

Huxiao Luo, Shiying Wang

We establish the following fractional Trudinger-Moser type inequality with logarithmic convolution potential $$ \sup_{u\in W^{\frac{1}{2},2}_0(I),\|u\|_{W_0^{\frac{1}{2},2}}\leq1}\…