The multi-parameter hausdorff operator is bounded on the product hardy space h11(r x r)

Elijah Liflyand; Ferenc Móricz

doi:10.1524/anly.2001.21.2.107

The multi-parameter hausdorff operator is bounded on the product hardy space h¹¹(r x r)

Elijah Liflyand
, Ferenc Móricz

Department of Mathematics

University of Szeged

Research output: Contribution to journal › Article › peer-review

29 Scopus citations

Abstract

Following R. Fefferman, the product Hardy space We also consider the one-parameter Hausdorff operators (with respect to the first or second variable) and establish their Fourier analytic properties on the class of functions in the mixed Hardy spaces H¹⁰(R²) and H⁰¹(R²).

Original language	English
Pages (from-to)	107-118
Number of pages	12
Journal	Analysis (Germany)
Volume	21
Issue number	2
DOIs	https://doi.org/10.1524/anly.2001.21.2.107
State	Published - 2001

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title = "The multi-parameter hausdorff operator is bounded on the product hardy space h11(r x r)",

abstract = "Following R. Fefferman, the product Hardy space We also consider the one-parameter Hausdorff operators (with respect to the first or second variable) and establish their Fourier analytic properties on the class of functions in the mixed Hardy spaces H10(R2) and H01(R2).",

author = "Elijah Liflyand and Ferenc M{\'o}ricz",

year = "2001",

doi = "10.1524/anly.2001.21.2.107",

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IS - 2

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The multi-parameter hausdorff operator is bounded on the product hardy space h¹¹(r x r)

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