Geodesic
New Bellman induction and a weak version of BMO
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 52, Tome 537 (2024), pp. 64-93

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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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     author = {E. P. Dobronravov and P. B. Zatitskii and D. M. Stolyarov},
     title = {New {Bellman} induction and a weak version of {BMO}},
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     pages = {64--93},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2024_537_a2/}
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E. P. Dobronravov; P. B. Zatitskii; D. M. Stolyarov. New Bellman induction and a weak version of BMO. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 52, Tome 537 (2024), pp. 64-93. http://geodesic.mathdoc.fr/item/ZNSL_2024_537_a2/