论文标题
通过谐波移植的半个空间上的严重硬度不平等
Critical Hardy inequality on the half-space via the harmonic transplantation
论文作者
论文摘要
通过使用谐波移植,我们证明了半空间上的严重耐力不平等。同样,我们还改善了半批判性不平等的半空间,这会融合到批判性的不平等现象。还讨论了Sobolev型不平等。
We prove a critical Hardy inequality on the half-space by using the harmonic transplantation. Also we give an improvement of the subcritical Hardy inequality on the half-space, which converges to the critical Hardy inequality. Sobolev type inequalities are also discussed.