Directional operators and mixed norms.
Duoandikoetxea, Javier
Publicacions Matemàtiques, Tome 46 (2002), p. 39-56 / Harvested from Biblioteca Digital de Matemáticas
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We present a survey of mixed norm inequalities for several directional operators, namely, directional Hardy-Littlewood maximal functions and Hilbert transforms (both appearing in the method of rotations of Calderón and Zygmund), X-ray transforms, and directional fractional operators related to Riesz type potentials with variable kernel. In dimensions higher than two several interesting questions remain unanswered.

[Proceedings of the 6th International Conference on Harmonic Analysis and Partial Differential Equations, El Escorial (Madrid), 2002].

Publié le : 2002-01-01
DMLE-ID : 4111 
@article{urn:eudml:doc:41607,
     title = {Directional operators and mixed norms.},
     journal = {Publicacions Matem\`atiques},
     volume = {46},
     year = {2002},
     pages = {39-56},
     zbl = {1052.42017},
     mrnumber = {MR1964815},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41607}
}

Duoandikoetxea, Javier. Directional operators and mixed norms.. Publicacions Matemàtiques, Tome 46 (2002) pp. 39-56. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41607/