Endpoint Estimates for N-dimensional Hardy Operators and Their Commutators

Abstract

In this paper, it is proved that the higher dimensional Hardy operator is bounded from Hardy space to Lebesgue space. The endpoint estimate for the commutator generated by Hardy operator and (central) BMO function is also discussed.

8 pages

Cited by in corpus (1)

• The Weighted ${\mathbf{L}}^{\mathbf{p}}$ estimates for the fractional Hardy operator and a class of integral operators on the Heisenberg group