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arXiv · 1603.04452

Parabolic BMO and the forward-in-time maximal operator

Olli Saari
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Abstract

We study if the parabolic forward-in-time maximal operator is bounded on parabolic BMO. It turns out that for non-negative functions the answer is positive, but the behaviour of sign changing functions is more delicate. The class parabolic BMO and the forward-in-time maximal operator originate from the regularity theory of nonlinear parabolic partial differential equations. In addition to that context, we also study the question in dimension one.

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Olli Saari. 2016-03-14. Parabolic BMO and the forward-in-time maximal operator. https://doi.org/10.1007/s10231-018-0733-0

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