26 research outputs found
Endpoint Estimates for N-dimensional Hardy Operators and Their Commutators
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.Comment: 8 page
Integral operators and weighted amalgams
For large classes of indices, we characterize the weights u, v for which the Hardy operator is bounded from ℓ^{q̅}(L^{p̅}_{v}) into . For more general operators of Hardy type, norm inequalities are proved which extend to weighted amalgams known estimates in weighted -spaces. Amalgams of the form , 1 < p,q < ∞ , q ≠ p, , are also considered and sufficient conditions for the boundedness of the Hardy-Littlewood maximal operator and local maximal operator in these spaces are obtained