Comparison of T1 conditions for multiparameter operators

2014/03/31 by de la Herrán, Ana Grau
#42B20 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1403.7968

Abstract

We prove that for L² bounded operators T, the classes of operators defined in the language of vector-valued Calderón-Zygmund theory by Journé in his proof of the T1 theorem on product spaces is of the same class as the later biparameter operators defined as the Pott and Villarroya type in their proof of the T1 theorem on product spaces.

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