Weighted estimates for the multilinear maximal operator

• Osękowski, Adam ^[1]
  1. [1] University of Warsaw

     University of Warsaw

     Warszawa, Polonia

     
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 75, Fasc. 2, 2024, págs. 379-394
• Idioma: inglés
• DOI: 10.1007/s13348-022-00390-5
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• Resumen

  • The paper contains the study of the weighted L^{p_1}\times L^{p_2}\times \ldots \times L^{p_m}\rightarrow L^p estimates for the multilinear maximal operator, in the context of abstract probability spaces equipped with a tree-like structure. Using the Bellman function method, we identify the associated optimal constants in the symmetric case p_1=p_2=\ldots =p_m , and a tight constant for remaining choices of exponents.