Geodesic
On pointwise a.e. convergence of multilinear operators
Canadian journal of mathematics, Tome 76 (2024) no. 3, pp. 1005-1032

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DOI

In this work, we obtain the pointwise almost everywhere convergence for two families of multilinear operators: (a) the doubly truncated homogeneous singular integral operators associated with $L^q$ functions on the sphere and (b) lacunary multiplier operators of limited smoothness. The a.e. convergence is deduced from the $L^2\times \cdots \times L^2\to L^{2/m}$ boundedness of the associated maximal multilinear operators.
DOI : 10.4153/S0008414X23000305
Mots-clés : Multilinear operators, rough singular integral operator, lacunary maximal multiplier 
Grafakos, Loukas; He, Danqing; Honzík, Petr; Park, Bae Jun. On pointwise a.e. convergence of multilinear operators. Canadian journal of mathematics, Tome 76 (2024) no. 3, pp. 1005-1032. doi: 10.4153/S0008414X23000305
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     title = {On pointwise a.e. convergence of multilinear operators},
     journal = {Canadian journal of mathematics},
     pages = {1005--1032},
     year = {2024},
     volume = {76},
     number = {3},
     doi = {10.4153/S0008414X23000305},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008414X23000305/}
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