Výsledky vyhledávání - "Herrán, Ana"

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Dyadic representation and boundedness of non-homogeneous Calder\'on--Zygmund operators with mild kernel regularity

Autor: de la Herrán, Ana Grau, Hytönen, Tuomas

We prove a new dyadic representation theorem with applications to the $T(1)$ and $A_2$ theorems. In particular, we obtain the non-homogeneous $T(1)$ theorem under weaker kernel regularity than the earlier approaches.
Comment: 30 pages

Externí odkaz: http://arxiv.org/abs/1612.05133

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Comparison of T1 conditions for multiparameter operators

Autor: de la Herrán, Ana Grau

We prove that for $L^2$ bounded operators T, the classes of operators defined in the language of vector-valued Calder\'on-Zygmund theory by Journ\'e in his proof of the T1 theorem on product spaces is of the same class as the later biparameter operat

Externí odkaz: http://arxiv.org/abs/1403.7968

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Generalized local Tb Theorems for Square Functions, and applications

Autor: de la Herran, Ana Grau, Hofmann, Steve

Publikováno v: Mathematika 63 (2016) 1-28

A local Tb theorem is an L^2 boundedness criterion by which the question of the global behavior of an operator is reduced to its local behavior, acting on a family of test functions b_Q indexed by the dyadic cubes. We present several versions of such

Externí odkaz: http://arxiv.org/abs/1212.5870

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Multilinear local Tb for Square functions

Autor: de la Herran, Ana Grau, Hart, Jarod, Oliveira, Lucas

In the present work we extend a local Tb theorem for square functions of Christ and Hofmann to the multilinear setting. We also present new BMO type interpolation result for square functions associated to multilinear operators. These square function

Externí odkaz: http://arxiv.org/abs/1210.0735

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A local $Tb$ theorem for square functions in domains with Ahlfors-David regular boundaries

Autor: de la Herran, Ana Grau, Mourgoglou, Mihalis

We prove a local Tb Theorem for square functions, in which we assume L^p control of the pseudo-accretive system, with p>1 extending the work of S. Hofmann to domains with Ahlfors-David regular boundaries.

Externí odkaz: http://arxiv.org/abs/1210.0181

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