Directional operators and mixed norms.

Duoandikoetxea, Javier. "Directional operators and mixed norms.." Publicacions Matemàtiques 46.Extra (2002): 39-56. <http://eudml.org/doc/41607>.

@article{Duoandikoetxea2002,
abstract = {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].},
author = {Duoandikoetxea, Javier},
journal = {Publicacions Matemàtiques},
keywords = {directional Hardy-Littlewood maximal functions; directional Hilbert transform; X-ray transform; mixed norms},
language = {eng},
number = {Extra},
pages = {39-56},
title = {Directional operators and mixed norms.},
url = {http://eudml.org/doc/41607},
volume = {46},
year = {2002},
}

TY - JOUR
AU - Duoandikoetxea, Javier
TI - Directional operators and mixed norms.
JO - Publicacions Matemàtiques
PY - 2002
VL - 46
IS - Extra
SP - 39
EP - 56
AB - 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].
LA - eng
KW - directional Hardy-Littlewood maximal functions; directional Hilbert transform; X-ray transform; mixed norms
UR - http://eudml.org/doc/41607
ER -