Abstract
We study Fefferman–Stein inequalities for the dyadic square function associated with an integrable, Hilbert-space-valued function on the interval [0, 1). The proof rests on a Bellman function method: the estimates are deduced from the existence of certain special functions enjoying appropriate majorization and concavity.
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Osȩkowski, A. Weighted Inequalities for the Dyadic Square Function. Integr. Equ. Oper. Theory 85, 359–380 (2016). https://doi.org/10.1007/s00020-016-2286-1
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DOI: https://doi.org/10.1007/s00020-016-2286-1