On the two-weight problem for singular integral operators

Cruz-Uribe, David; Pérez, Carlos

Cruz-Uribe, David ; Pérez, Carlos

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 1 (2002) no. 4, pp. 821-849.

Résumé

We give $A_{p}$ type conditions which are sufficient for two-weight, strong $(p, p)$ inequalities for Calderón-Zygmund operators, commutators, and the Littlewood-Paley square function $g_{λ}^{*}$ . Our results extend earlier work on weak $(p, p)$ inequalities in [13].

MR 1991004 | Zbl 1072.42010

Classification : 42B20, 42B25

@article{ASNSP_2002_5_1_4_821_0,
     author = {Cruz-Uribe, David and P\'erez, Carlos},
     title = {On the two-weight problem for singular integral operators},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {821--849},
     publisher = {Scuola normale superiore},
     volume = {Ser. 5, 1},
     number = {4},
     year = {2002},
     zbl = {1072.42010},
     mrnumber = {1991004},
     language = {en},
     url = {archive.numdam.org/item/ASNSP_2002_5_1_4_821_0/}
}

Cruz-Uribe, David; Pérez, Carlos. On the two-weight problem for singular integral operators. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 1 (2002) no. 4, pp. 821-849. http://archive.numdam.org/item/ASNSP_2002_5_1_4_821_0/

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