Littlewood-Paley spaces

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42 Citations (Scopus)

Abstract

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. Copyright © 2011 Mathematica Scandinavica.
Original languageEnglish
Pages (from-to)77-102
JournalMathematica Scandinavica
Volume108
Issue number1
DOIs
Publication statusPublished - Mar 2011

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Quasi-Banach Space
Banach Function Space
Morrey Space
Lorentz Spaces
Orlicz Spaces
Lebesgue Space
Hardy Space
Function Space
Framework

Citation

Ho, K.-P. (2011). Littlewood-Paley spaces. Mathematica Scandinavica, 108(1), 77-102. doi: 10.7146/math.scand.a-15161