New Bellman induction and a weak version of BMO
arxiv(2024)
摘要
We enlarge the area of applicability of the Bellman function method to
estimates in the spirit of the John–Nirenberg inequality abandoning certain
convexity assumptions. As an application, we consider a characteristic of a
function that is much smaller than the BMO norm, but whose
finiteness leads to the exponential integrability of the function.
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