A B p condition for the strong maximal function

• Autores: Liguang Liu, Teresa Elvira Luque Martínez
• Localización: Transactions of the American Mathematical Society, ISSN 0002-9947, Vol. 366, Nº 11, 2014, págs. 5707-5726
• Idioma: inglés
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• Resumen

  • A strong version of the Orlicz maximal operator is introduced and a natural B_p condition for the rectangle case is defined to characterize its boundedness. This fact led us to describe a sufficient condition for the two weight inequalities of the strong maximal function in terms of power and logarithmic bumps. Results for the multilinear version of this operator and for other multi(sub)linear maximal functions associated with bases of open sets are also studied.