Weighted Inequalities for the Dyadic Square Function

作者：Osckowski Adam^*

来源：Integral Equations and Operator Theory, 2016, 85(3): 359-380.

DOI：10.1007/s00020-016-2286-1

• Maximal function
• Square function
• Weight
• Martingale

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.

• 出版日期2016-7