Sharp asymptotic estimates for a class of Littlewood-Paley operators
It is well-known that Littlewood-Paley operators formed with respect to lacunary sets of finite order are bounded on Lp(ℝ) for all 1 < p < ∞. In this note it is shown that 'Equation Presented' where SIE2 denotes the classical Littlewood-Paley operator formed with respect to the second order lacunary set E2 = {±(2k -2l) : k, l ∈ ℤ with k > l}. Variants in the periodic setting and for certain lacuna
