Dual Spaces of Multi-Parameter Martingale Hardy Spaces

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

In this paper, we introduce the generalized multi-parameter martingale BMO spaces. The atomic decomposition of the multi-parameter martingale Hardy-Lorentz space Hp,q s is given. With the help of this, the dual space of Hp,q s is characterized as the generalized BMO space. Finally, as an application, the John-Nirenberg inequality is generalized for multi-parameters.

Original languageEnglish
Pages (from-to)137-145
Number of pages9
JournalQuarterly Journal of Mathematics
Volume67
Issue number1
DOIs
Publication statusPublished - Dec 8 2014

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Dual space
Hardy Space
Martingale
BMO Space
Atomic Decomposition
Lorentz Spaces

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Dual Spaces of Multi-Parameter Martingale Hardy Spaces. / Weisz, F.

In: Quarterly Journal of Mathematics, Vol. 67, No. 1, 08.12.2014, p. 137-145.

Research output: Contribution to journalArticle

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