The conjugation operator on Aq(G)

Sanjiv Kumar Gupta, Shobha Madan, U. B. Tewari

Research output: Contribution to journalArticle

Abstract

Let G be a compact abelian group and r its dual. For 1 ≤ q > ∞, the space Aq(G) is defined as with the norm We prove: Let G be a compact, connected abelian group and P any fixed order on Γ. If q <2 and Φi s a Young’s function, then the conjugation operator H does not extend to a bounded operator from Aq(G) to the Orlicz space LΦ.

Original languageEnglish
Pages (from-to)163-166
Number of pages4
JournalProceedings of the American Mathematical Society
Volume121
Issue number1
DOIs
Publication statusPublished - 1994

Fingerprint

Conjugation
Abelian group
Mathematical operators
Young Function
G-space
Orlicz Spaces
Compact Group
Bounded Operator
Operator
Norm

Keywords

  • Conjugation operator
  • Rudin-Shapiro polynomials

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

The conjugation operator on Aq(G). / Gupta, Sanjiv Kumar; Madan, Shobha; Tewari, U. B.

In: Proceedings of the American Mathematical Society, Vol. 121, No. 1, 1994, p. 163-166.

Research output: Contribution to journalArticle

Gupta, Sanjiv Kumar ; Madan, Shobha ; Tewari, U. B. / The conjugation operator on Aq(G). In: Proceedings of the American Mathematical Society. 1994 ; Vol. 121, No. 1. pp. 163-166.
@article{3972de70b5df4f518360268d9970fb4a,
title = "The conjugation operator on Aq(G)",
abstract = "Let G be a compact abelian group and r its dual. For 1 ≤ q > ∞, the space Aq(G) is defined as with the norm We prove: Let G be a compact, connected abelian group and P any fixed order on Γ. If q <2 and Φi s a Young’s function, then the conjugation operator H does not extend to a bounded operator from Aq(G) to the Orlicz space LΦ.",
keywords = "Conjugation operator, Rudin-Shapiro polynomials",
author = "Gupta, {Sanjiv Kumar} and Shobha Madan and Tewari, {U. B.}",
year = "1994",
doi = "10.1090/S0002-9939-1994-1181167-4",
language = "English",
volume = "121",
pages = "163--166",
journal = "Proceedings of the American Mathematical Society",
issn = "0002-9939",
publisher = "American Mathematical Society",
number = "1",

}

TY - JOUR

T1 - The conjugation operator on Aq(G)

AU - Gupta, Sanjiv Kumar

AU - Madan, Shobha

AU - Tewari, U. B.

PY - 1994

Y1 - 1994

N2 - Let G be a compact abelian group and r its dual. For 1 ≤ q > ∞, the space Aq(G) is defined as with the norm We prove: Let G be a compact, connected abelian group and P any fixed order on Γ. If q <2 and Φi s a Young’s function, then the conjugation operator H does not extend to a bounded operator from Aq(G) to the Orlicz space LΦ.

AB - Let G be a compact abelian group and r its dual. For 1 ≤ q > ∞, the space Aq(G) is defined as with the norm We prove: Let G be a compact, connected abelian group and P any fixed order on Γ. If q <2 and Φi s a Young’s function, then the conjugation operator H does not extend to a bounded operator from Aq(G) to the Orlicz space LΦ.

KW - Conjugation operator

KW - Rudin-Shapiro polynomials

UR - http://www.scopus.com/inward/record.url?scp=84966257178&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84966257178&partnerID=8YFLogxK

U2 - 10.1090/S0002-9939-1994-1181167-4

DO - 10.1090/S0002-9939-1994-1181167-4

M3 - Article

AN - SCOPUS:84966257178

VL - 121

SP - 163

EP - 166

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 1

ER -