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arXiv · 1902.10462

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

Mario Stipčić
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Abstract

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.

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Mario Stipčić. 2019-02-27. T(1) theorem for dyadic singular integral forms associated with hypergraphs. https://doi.org/10.1016/j.jmaa.2019.123496

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