Hardy-littlewood inequalities for two-parameter vilenkin-fourier coefficients

Péter Simon, F. Weisz

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

In our earlier paper [10] we showed a Hardy type inequality with respect to the two-parameter Vilenkin system. In this work the analogue of this inequality will be given for Hardy spaces Hp (2/3 < p < 1) defined by means of a so-called diagonal maximal function. The non-improving of this assertion is also investigated. Under suitable conditions we extend the theorem for 0 < p < 1. Furthermore, by duality some BMO-results are obtained.

Original languageEnglish
Pages (from-to)1-16
Number of pages16
JournalAnalysis (Germany)
Volume21
Issue number1
DOIs
Publication statusPublished - Jan 1 2001

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Hardy-Littlewood Inequality
Hardy-type Inequality
Maximal Function
Fourier coefficients
Hardy Space
Assertion
Two Parameters
Duality
Analogue
Theorem

ASJC Scopus subject areas

  • Analysis
  • Numerical Analysis
  • Applied Mathematics

Cite this

Hardy-littlewood inequalities for two-parameter vilenkin-fourier coefficients. / Simon, Péter; Weisz, F.

In: Analysis (Germany), Vol. 21, No. 1, 01.01.2001, p. 1-16.

Research output: Contribution to journalArticle

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