Geodesic
Estimates for Compositions of Maximal Operators with Singular Integrals
Canadian mathematical bulletin, Tome 56 (2013) no. 4, pp. 801-813

Voir la notice de l'article provenant de la source Cambridge University Press

We prove weak-type $\left( 1,\,1 \right)$ estimates for compositions of maximal operators with singular integrals. Our main object of interest is the operator $\Delta *\Psi $ where $\Delta *$ is Bourgain’s maximal multiplier operator and $\Psi $ is the sum of several modulated singular integrals; here our method yields a significantly improved bound for the ${{L}^{q}}$ operator norm when $1\,<\,q\,<\,2$ . We also consider associated variation-norm estimates.
DOI : 10.4153/CMB-2012-003-x
Mots-clés : 42A45, maximal operator, Calderón–Zygmund 
Oberlin, Richard. Estimates for Compositions of Maximal Operators with Singular Integrals. Canadian mathematical bulletin, Tome 56 (2013) no. 4, pp. 801-813. doi: 10.4153/CMB-2012-003-x
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