BMO functions and Carleson measures with values in uniformly convex spaces

2007/05/14 by Ouyang, Caiheng, Xu, Quanhua
#42B25 #46B20 #46E40 #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.0705.1948

Abstract

This paper studies the relationship between vector-valued BMO functions and the Carleson measures defined by their gradients. Let dA and dm denote Lebesgue measures on the unit disc D and the unit circle \mathbb T, respectively. For 1< q

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