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

2012/09/30 by Ana Grau de la Herrán, Mihalis Mourgoglou, de la Herran, Ana Grau +1
Mathematics · #Mathematical Dynamics and Fractals #Analytic and geometric function theory #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1210.0181

Abstract

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

Citations

• Hp spaces of several variables
• Some Maximal Inequalities

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