Extremizers and sharp weak-type estimates for positive dyadic shifts

Guillermo Rey, Alexander Reznikov

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)664-681
Number of pages18
JournalAdvances in Mathematics
StatePublished - Mar 20 2014
Externally publishedYes


  • Bellman functions
  • Dyadic shifts
  • Sharp weak-type estimates


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