ABSTRACT

As a natural extention of the BMO-theory, R. Aulaskari, J. Xiao and R. Zhao introduced the Q p https://s3-euw1-ap-pe-df-pch-content-public-u.s3.eu-west-1.amazonaws.com/9781351045551/4730f38a-3e35-40e9-9674-aa9748370ac3/content/eq1858.tif"/> spaces in [AXZ1995]. The study of these spaces has attracted considerable attention in recent years and has resulted in a new code 30H25 in the 2010 AMS subject classifications. The Q p https://s3-euw1-ap-pe-df-pch-content-public-u.s3.eu-west-1.amazonaws.com/9781351045551/4730f38a-3e35-40e9-9674-aa9748370ac3/content/eq1859.tif"/> spaces contain many well-known function spaces, including the Dirichlet space, BMOA and the Bloch space. Two monographs of J. Xiao [Xi2001, Xi2006] contain most of the results about Q p https://s3-euw1-ap-pe-df-pch-content-public-u.s3.eu-west-1.amazonaws.com/9781351045551/4730f38a-3e35-40e9-9674-aa9748370ac3/content/eq1860.tif"/> spaces.