One-Dimensional hardy spaces

Research output: Chapter in Book/Report/Conference proceedingChapter


The theory of the one-dimensional classical Hardy spaces is a very important topic of harmonic analysis and summability theory. In this chapter, we focus our investigations on the atomic decomposition of the Hardy spaces. The Hardy spaces are investigated in many books, for example in Duren [93], Stein [308, 309], Stein and Weiss [311], Lu [233], Uchiyama [340] and Grafakos [152]. Beyond these, the Hardy spaces have been introduced for martingales as well (see e.g. Garsia [127], Neveu [260], Dellacherie and Meyer [85, 86], Long [232] and Weisz [347]).

Original languageEnglish
Title of host publicationApplied and Numerical Harmonic Analysis
PublisherSpringer International Publishing
Number of pages68
Publication statusPublished - Jan 1 2017

Publication series

NameApplied and Numerical Harmonic Analysis
ISSN (Print)2296-5009
ISSN (Electronic)2296-5017


ASJC Scopus subject areas

  • Applied Mathematics

Cite this

Weisz, F. (2017). One-Dimensional hardy spaces. In Applied and Numerical Harmonic Analysis (9783319568133 ed., pp. 3-70). (Applied and Numerical Harmonic Analysis; No. 9783319568133). Springer International Publishing.