arXiv subjects

Jill C. Pipher

Publications and source records attributed to Jill C. Pipher.

2 recordsLinked to original sources

arXiv2010

Multi-Parameter Div-Curl Lemmas

We study the possible analogous of the Div-Curl Lemma in classical harmonic analysis and partial differential equations, but from the point of view of the multi-parameter setting. In this context we see two possible Div-Curl lemmas that arise. Extensions to differential forms are also given.

math.CA↗

arXiv2008

Iterated Riesz Commutators: A Simple Proof of Boundedness

We give a simple proof of L^p boundedness of iterated commutators of Riesz transforms and a product BMO function. We use a representation of the Riesz transforms by means of simple dyadic operators - dyadic shifts - which in turn reduces the estimate quickly to paraproduct estimates.

math.CA↗