Directional operators and mixed norms.

Título inglés Directional operators and mixed norms.
Título español Operadores direccionales y normas mixtas.
Autor/es Duoandikoetxea, Javier
Organización Dep. Mat. Univ. País Vasco, Bilbao, España
Revista 0214-1493
Publicación 2002, 46 (Extra): 39-56, 33 Ref.
Tipo de documento articulo
Idioma Inglés
Resumen inglés 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].
Código MathReviews MR1964815
Código Z-Math Zbl 1052.42017
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