Homogeneous Besov Spaces on Stratified Lie Groups and Their Wavelet Characterization

We establish wavelet characterizations of homogeneous Besov spaces on stratified Lie groups, both in terms of continuous and discrete wavelet systems. We first introduce a notion of homogeneous Besov space B˙p,qs in terms of a Littlewood-Paley-type decomposition, in analogy to the well-known charact...

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Bibliographic Details
Main Authors: Hartmut Führ, Azita Mayeli
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2012/523586