Open AccessLittlewood-Paley spaces
Author(s) -
Kwok Pun Victor Ho
Publication year - 2011
Publication title -
mathematica scandinavica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.553
H-Index - 30
eISSN - 1903-1807
pISSN - 0025-5521
DOI - 10.7146/math.scand.a-15161
Subject(s) - mathematics , birnbaum–orlicz space , lp space , interpolation space , pure mathematics , function space , fréchet space , topological tensor product , hardy space , functional analysis , lorentz space , lorentz transformation , compact open topology , banach space , function (biology) , biochemistry , chemistry , physics , classical mechanics , evolutionary biology , biology , gene
We introduce the Littlewood-Paley spaces in which the Lebesgue spaces, the Hardy spaces, the Orlicz spaces, the Lorentz-Karamata spaces, the r.-i. quasi-Banach function spaces and the Morrey spaces reside. The Littlewood-Paley spaces provide a unified framework for the study of some important function spaces arising in analysis.