engleski

T(1) theorem for dyadic singular integral forms associated with hypergraphs

This paper studies dyadic singular integral forms associated with r-partite r-uniform hypergraphs such that all their connected components are complete. We characterize their L^p boundedness by T(1)-type conditions in two different ways. We also dominate these forms by positive sparse forms and prove weighted estimates with multilinear Muckenhoupt weights.

Singular integral ; Hypergraph ; T(1) theorem ; Weighted estimate ; Sparse domination

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