We study the difference between vertical and conical square functions in the abstract and also in the specific case where the square functions come from an elliptic operator.
Referencias bibliográficas
Pascal Auscher, On necessary and sufficient conditions for L^p-estimates of Riesz transforms associated to elliptic operators on \Bbb R^n...
David V. Cruz-Uribe, José Maria Martell, and Carlos Pérez, Weights, extrapolation and the theory of Rubio de Francia, Operator Theory: Advances...
Björn E. J. Dahlberg, David S. Jerison, and Carlos E. Kenig, Area integral estimates for elliptic differential operators with nonsmooth coefficients,...
O. Dragicevic & A. Volberg, Bilinear embedding theorem for real elliptic differential operators in divergence form with potential, to...
C. Fefferman and E. M. Stein, H^{p} spaces of several variables, Acta Math. 129 (1972), no. 3-4, 137–193. MR 447953, DOI 10.1007/BF02392215
Jens Frehse, An irregular complex valued solution to a scalar uniformly elliptic equation, Calc. Var. Partial Differential Equations 33 (2008),...
José García-Cuerva, An extrapolation theorem in the theory of A_{p} weights, Proc. Amer. Math. Soc. 87 (1983), no. 3, 422–426. MR 684631,...
Loukas Grafakos, Classical and modern Fourier analysis, Pearson Education, Inc., Upper Saddle River, NJ, 2004. MR 2449250
Eleonor Harboure, José L. Torrea, and Beatriz E. Viviani, A vector-valued approach to tent spaces, J. Analyse Math. 56 (1991), 125–140. MR...