Geodesic
$L^p$ weighted inequalities for the dyadic square function
Studia Mathematica, Tome 115 (1995) no. 2, pp. 135-149 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We prove that $ʃ(S_df)^pVdx ≤ C_{p,n}ʃ |f|^p M_d^{([p/2]+2)}Vdx$, where $S_d$ is the dyadic square function, $M_d^{(k)}$ is the k-fold application of the dyadic Hardy-Littlewood maximal function and p > 2.
DOI : 10.4064/sm-115-2-135-149
Keywords: dyadic square function, dyadic maximal function, weighted inequality 
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     title = {$L^p$ weighted inequalities for the dyadic square function},
     journal = {Studia Mathematica},
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Akihito Uchiyama. $L^p$ weighted inequalities for the dyadic square function. Studia Mathematica, Tome 115 (1995) no. 2, pp. 135-149. doi: 10.4064/sm-115-2-135-149

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