Naslov
Potential Inequality

Autori
Rao, Murali ; Šikić, Hrvoje

Izvornik
Israel Journal of Mathematics (0021-2172) 83 (1993); 97-127

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
maximum principle; Hardy's inequality

Sažetak
We prove a general inequality for kernels satisfying the maximum principle. This is then used to derive a sufficient condition for the kernel to define a continuous map of Lebesgue spaces. Exactly this condition happens to be necessary and sufficient for the validity of Hardy's inequality with weights in one dimension. Some applications indicating the unifying nature of the potential inequality are given.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA