The conjugation operator on Aq(G)

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

doi:10.1090/S0002-9939-1994-1181167-4

The conjugation operator on A_q(G)

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

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

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 L^Φ.

Original language	English
Pages (from-to)	163-166
Number of pages	4
Journal	Proceedings of the American Mathematical Society
Volume	121
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9939-1994-1181167-4
Publication status	Published - May 1994
Externally published	Yes

Keywords

Conjugation operator
Rudin-Shapiro polynomials

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

Access to Document

10.1090/S0002-9939-1994-1181167-4

Cite this

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