Weighted estimates for the multilinear maximal function on the upper half‐spaces
Weighted estimates for the multilinear maximal function on the upper half‐spaces
Abstract For a general dyadic grid, we give a Calderón–Zygmund type decomposition, which is the principle fact about the multilinear maximal function on the upper half‐spaces. Using the decomposition, we study the boundedness of . We obtain a natural extension to the multilinear setting of Muckenhoupt's weak‐type characterization. We also …