Boundedness of Lusin-area and gλ* functions on localized Morrey-Campanato spaces over doubling metric measure spaces

Let χ be a doubling metric measure space and ρ an admissible function on χ. In this paper, the authors establish some equivalent characterizations for the localized Morrey-Campanato spaces ερα,p(χ) and Morrey-Campanato-BLO spaces ε̃ρα,p(χ) when α∈(-∞,0) and p∈[1,∞). If χ has the volume regularity Pr...

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Bibliographic Details
Main Authors: Haibo Lin, Eiichi Nakai, Dachun Yang
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2011/187597