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Paper detail

Parabolic BMO and the forward-in-time maximal operator

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.

preprint2016arXivOpen access
Olli Saari
math.APmath.CA
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Olli Saari

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