On the Embedding Waterman, Chanturia and Generalized Wiener Classes in the Classes in the Classes H1w

U. Goginava

doi:10.1515/GMJ.2003.677

On the Embedding Waterman, Chanturia and Generalized Wiener Classes in the Classes in the Classes H₁^w

U. Goginava

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

2 Citations (Scopus)

Abstract

Chanturia, Wang and Akhobadze proved sufficient conditions for the inclusion of Chanturia, Waterman and Generalized Wiener classes, respectively, in the classes H₁^w In this paper we prove that these conditions are necessary for this inclusion to hold.

Original language	English
Pages (from-to)	677-686
Number of pages	10
Journal	Georgian Mathematical Journal
Volume	10
Issue number	4
DOIs	https://doi.org/10.1515/GMJ.2003.677
Publication status	Published - 2003
Externally published	Yes

Keywords

Chanturia class
generalized Wiener class
Waterman class

ASJC Scopus subject areas

General Mathematics

Access to Document

10.1515/GMJ.2003.677

Cite this

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title = "On the Embedding Waterman, Chanturia and Generalized Wiener Classes in the Classes in the Classes H1w",

abstract = "Chanturia, Wang and Akhobadze proved sufficient conditions for the inclusion of Chanturia, Waterman and Generalized Wiener classes, respectively, in the classes H1w In this paper we prove that these conditions are necessary for this inclusion to hold.",

keywords = "Chanturia class, generalized Wiener class, Waterman class",

author = "U. Goginava",

year = "2003",

doi = "10.1515/GMJ.2003.677",

language = "English",

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pages = "677--686",

journal = "Georgian Mathematical Journal",

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T1 - On the Embedding Waterman, Chanturia and Generalized Wiener Classes in the Classes in the Classes H1w

AU - Goginava, U.

PY - 2003

Y1 - 2003

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AB - Chanturia, Wang and Akhobadze proved sufficient conditions for the inclusion of Chanturia, Waterman and Generalized Wiener classes, respectively, in the classes H1w In this paper we prove that these conditions are necessary for this inclusion to hold.

KW - Chanturia class

KW - generalized Wiener class

KW - Waterman class

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DO - 10.1515/GMJ.2003.677

M3 - Article

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SN - 1072-947X

VL - 10

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EP - 686

JO - Georgian Mathematical Journal

JF - Georgian Mathematical Journal

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