Vertical versus conical square functions

Pascal Auscher (1) , Steve Hofmann (2) , José Maria Martell (3)

1 LM-Orsay - Laboratoire de Mathématiques d'Orsay
2 Mizzou - University of Missouri [Columbia]
3 ICMAT - Instituto de Ciencias Matemàticas [Madrid]

We study the difference between vertical and conical square functions in the abstract and also in the specific case where the square functions come from an elliptic operator.

Mots clés: Vertical square functions; conical square functions; extrapolation; elliptic operators

Domaines: Analyse classique [math.CA]; Equations aux dérivées partielles [math.AP]

Pascal Auscher, Steve Hofmann, José Maria Martell. Vertical versus conical square functions. Transactions of the American Mathematical Society, 2012, 364 (10), pp.5469-5489. ⟨hal-00548078⟩