4 citations · 9 across the 4 of their papers we have counts for
5 papers
Weighted Lorentz spaces: sharp mixed estimate for maximal functions
Natalia Accomazzo, Javier Duoandikoetxea, Zoe Nieraeth +2
We prove the sharp mixed weighted estimate for the Hardy-Littlewood maximal function in the context of weighted Lorentz spaces, namely \[ \|M\|_{L^{p,q}(w)} \les…
Directional square functions
Natalia Accomazzo, Francesco Di Plinio, Paul Hagelstein +2
Quantitative formulations of Fefferman's counterexample for the ball multiplier are naturally linked to square function estimates for conical and directional multipliers. In this a…
Singular integrals along lacunary directions in
Natalia Accomazzo, Francesco Di Plinio, Ioannis Parissis
A recent result by Parcet and Rogers is that finite order lacunarity characterizes the boundedness of the maximal averaging operator associated to an infinite set of directions in…
A characterization of BMO in terms of endpoint bounds for commutators of singular integrals
Natalia Accomazzo
We provide a characterization of in terms of endpoint boundedness of commutators of singular integrals. In particular, in one dimension, we show that $\|b\|_{\mathrm…
On Bloom type estimates for iterated commutators of fractional integrals
Natalia Accomazzo, Javier C. Martínez-Perales, Israel P. Rivera-Ríos
In this paper we provide quantitative Bloom type estimates for iterated commutators of fractional integrals improving and extending results from a work of Holmes, Rahm and Spencer.…