Variational inequalities for singular integral operators
Journées équations aux dérivées partielles (2012), article no. 7, 14 p.

In these notes we survey some new results concerning the ρ-variation for singular integral operators defined on Lipschitz graphs. Moreover, we investigate the relationship between variational inequalities for singular integrals on AD regular measures and geometric properties of these measures. An overview of the main results and applications, as well as some ideas of the proofs, are given.

DOI : 10.5802/jedp.90
Classification : 42B20, 42B25
Mots clés : $\rho $-variation, singular integral operators, uniform rectifiability.
Mas, Albert 1

1 Departamento de Matemáticas, Universidad del País Vasco – Euskal Herriko Unibertsitatea, 48080 Leioa, Bizkaia (Spain)
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Mas, Albert. Variational inequalities for singular integral operators. Journées équations aux dérivées partielles (2012), article  no. 7, 14 p. doi : 10.5802/jedp.90. http://www.numdam.org/articles/10.5802/jedp.90/

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