Vector-valued operators, optimal weighted estimates and the $C_p$ condition

29 Dec 2017  ·  Cejas Maria Eugenia, Li Kangwei, Perez Carlos, Rivera-Rios Israel P. ·

Sharp weighted estimates are obtained for vector-valued extensions of the Hardy-Littlewood maximal operator, Calder\'on-Zygmund operators and Coifman-Rochberg-Weiss commutator. Those estimates will rely upon suitable pointwise estimates in terms of sparse operators... We also prove some new results for the $C_p$ classes introduced by Muckenhoupt and later extended by Sawyer, in particular we extend the result to the full expected range $p > 0$, to the weak norm, to other operators and to the their vector-valued extensions. read more

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Classical Analysis and ODEs