Geodesic
Weighted inequalities for the dyadic maximal operator involving an infinite product
Wei Chen1 ; Ruijuan Chen1 ; Chao Zhang2
1 School of Mathematical Sciences Yangzhou University 225002 Yangzhou, China
2 Department of Mathematics Zhejiang Gongshang University 310018 Hangzhou, China
Colloquium Mathematicum, Tome 145 (2016) no. 2, pp. 231-244.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We define a generalized dyadic maximal operator involving an infinite product. We get adapted $A_p$ and $S_p$ weighted inequalities for this operator. A version of the Carleson embedding theorem is also proved. Our results heavily depend on a generalized Hölder inequality.
DOI : 10.4064/cm6701-1-2016
Keywords: define generalized dyadic maximal operator involving infinite product get adapted weighted inequalities operator version carleson embedding theorem proved results heavily depend generalized lder inequality

Wei Chen 1 ; Ruijuan Chen 1 ; Chao Zhang 2

1 School of Mathematical Sciences Yangzhou University 225002 Yangzhou, China
2 Department of Mathematics Zhejiang Gongshang University 310018 Hangzhou, China 
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Wei Chen; Ruijuan Chen; Chao Zhang. Weighted inequalities for the dyadic maximal operator involving an infinite product. Colloquium Mathematicum, Tome 145 (2016) no. 2, pp. 231-244. doi : 10.4064/cm6701-1-2016. http://geodesic.mathdoc.fr/articles/10.4064/cm6701-1-2016/

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