For an integrable function f on [0, 1)ᵈ, let S (f) and Mf denote the corresponding dyadic square function and the dyadic maximal function of f, respectively. The paper contains the proofs of the ...

We prove new weighted norm inequalities for real-variable analogues of the Lusin area function. We apply our results to obtain new: (i) weighted norm inequalities for singular integral operators; (ii) ...

Google has introduced graphing functionality to Google Search which allows users to enter mathematical functions directly into the search box.