Geodesic
Weighted inequalities for the dyadic maximal operator involving an infinite product
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
Colloquium Mathematicum, Tome 145 (2016) no. 2, pp. 231-244 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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

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