4 papers · 1 filter
Characterization of the boundedness of the segment multiplier on rearrangement-invariant spaces
Miguel F. Barea-Fernández, Ron Kerman, Jan Lang +1
Given a rearrangement-invariant (r.i.) space X, we show that the segment multiplier, the truncated Hilbert transform, and the discrete Hilbert transform (on the associated discreti…
Weighted estimates for fractional integrals with Distances to Bounded Median Porous Sets and applications to Hardy--Sobolev Inequalities
Diego Maldonado, Javier Soria
Weighted estimates for the fractional integral operator are established and subsequently applied to derive corresponding Hardy--Sobolev inequalities. The weights are construc…
Anisotropic Caffarelli-Kohn-Nirenberg inequalities with higher-order fractional derivatives
Diego Maldonado, Javier Soria
We prove a family of anisotropic Caffarelli-Kohn-Nirenberg interpolation inequalities involving higher-order fractional derivatives and weights of the form $|x'|^{θ_1}|x|^{θ_2}|x_n…
On weighted estimates for fractional operators and applications to Hardy-type inequalities
Diego Maldonado, Javier Soria
New necessary and sufficient conditions for two-weight estimates for fractional maximal and integral operators are established by means of Harnack-type estimates for Muckenhoupt we…