Extremizers and sharp weak-type estimates for positive dyadic shifts |
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| Authors: | Guillermo Rey Alexander Reznikov |
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| Institution: | Department of Mathematics, Michigan State University, East Lansing, MI 48824-1027, United States |
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| Abstract: | We find the exact Bellman function for the weak L1 norm of local positive dyadic shifts. We also describe a sequence of functions, self-similar in nature, which in the limit extremize the local weak-type (1,1) inequality. |
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| Keywords: | Bellman functions Dyadic shifts Sharp weak-type estimates |
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