Speaker
Ramil Nasibullin
(Kazan Federal University)
Description
We prove one-dimensional $𝐿_𝑝$-Hardy inequalities with additional terms and use them for justifying spatial analogues in convex domains with finite volumes. We consider spatial inequalities in arbitrary domains, and then we simplify them for convex domains. The constants in the additional terms in these spatial inequalities depend on the volume or on the diameter of the domain.
Primary author
Ramil Nasibullin
(Kazan Federal University)