Weighted Hardy spaces for elliptic operators

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• Cruz Prisuelos, Instituto de Ciencias Matemáticas, Madrid
• Tuesday 17 October 2017, 16:00-17:00
• Lecture Theater C, Watson Building.

If you have a question about this talk, please contact Andrew Morris.

In this talk we consider weighted Hardy spaces defined using conical square functions, non-tangential maximal functions, and the Riesz transform associated with an elliptic operator in divergence form $L$. In the case of conical square functions and non-tangential maximal functions, for $0 < p \leq 1$, we give a molecular characterization of them, and for $p \in W_w(p_-(L),p_+(L))$, we show that they are isomorphic to the $L^p(w)$ spaces. Besides, we relate the weighted Hardy spaces defined via the Riesz transform with those defined via conical square functions.

This talk is part of the Analysis seminar series.

This talk is included in these lists:

• Analysis seminar
• Lecture Theater C, Watson Building
• School of Mathematics events

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