On a capacitary strong type inequality and related capacitary estimates.

Autor: Keng Hao Ooi, Nguyen Cong Phuc
Předmět:
Zdroj: Revista Mathematica Iberoamericana; 2022, Vol. 38 Issue 2, p589-599, 11p
Abstrakt: We establish a Maz’ya type capacitary inequality which resolves a special case of a conjecture by David R. Adams. As a consequence, we obtain several equivalent norms for Choquet integrals associated to Bessel or Riesz capacities. This enables us to obtain bounds for the Hardy–Littlewood maximal function in a sub- linear setting. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index