Abstract
We consider several weak type estimates for dyadic singular operators using the Bellman function approach. We write the precise formula for the unweighted weak type estimate Bellman function. We prove that the weak norms of two different martingale transforms coincide. The proof uses the precise form of the Bellman function of the weak type estimate of martingale transform.
AV was supported by the NSF grant DMS 1600065.
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Reznikov, A., Volberg, A. (2019). The Weak Type Estimates of Two Different Martingale Transforms Coincide. In: Aleman, A., Hedenmalm, H., Khavinson, D., Putinar, M. (eds) Analysis of Operators on Function Spaces. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-14640-5_11
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DOI: https://doi.org/10.1007/978-3-030-14640-5_11
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