Open Access
2015 Two new classes of subalgebras of $L^{1}\left( G\right)$
İlker Eryilmaz
Banach J. Math. Anal. 9(1): 127-136 (2015). DOI: 10.15352/bjma/09-1-10

Abstract

In this paper, two new classes of subalgebras of $L^{1}\left( G\right) $ generated by Lorentz--Karamata spaces are investigated and some fundamental properties of these spaces are examined. Also, the multipliers space (homomorphisms space) on $L^{1}\left( G\right) \cap L\left( p,q;b\right) \left( G\right) $ spaces are characterized.

Citation

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İlker Eryilmaz . "Two new classes of subalgebras of $L^{1}\left( G\right)$." Banach J. Math. Anal. 9 (1) 127 - 136, 2015. https://doi.org/10.15352/bjma/09-1-10

Information

Published: 2015
First available in Project Euclid: 19 December 2014

zbMATH: 1330.46027
MathSciNet: MR3296090
Digital Object Identifier: 10.15352/bjma/09-1-10

Subjects:
Primary: 46E30
Secondary: 26A12 , 43A22

Keywords: Lorentz--Karamata space , Multiplier , slowly varying function

Rights: Copyright © 2015 Tusi Mathematical Research Group

Vol.9 • No. 1 • 2015
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