Full paper in PDF:
$%S. Korry, Boundedness of Hardy-Littlewood maximal operator in the framework of Lizorkin-Triebel
spaces, Rev. Mat. Complut. 15 (2002), no. 2, 401–416.%$
ABSTRACT
We describe a class of nonlinear operators which are bounded on the Lizorkin–Triebel spaces , for and . As a corollary, we prove that the Hardy-Littlewood maximal operator is bounded on , for and ; this extends the result of Kinnunen (1997), valid for the Sobolev space .
2000 Mathematics Subject Classification: 42B25.