Abstract
Let G be a locally compact abelian group with Haar measure, \(\Phi \) be a Young function and \(\omega \) be a weight. We investigate the closed convex left invariant subsets of \(L^{\Phi }(G,\omega )\) and apply the results to the study of the multipliers for \(L^{\Phi }(G,\omega )\).
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Acknowledgements
The author would like to thank Prof. S. Öztop for critical reading of the manuscript and helpful suggestions on the subject. The author would like to thank to anonymous refree for the careful reading of the manuscript and for helpful comments.
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Üster, R. Multipliers for the Weighted Orlicz Spaces of a Locally Compact Abelian Group. Results Math 76, 183 (2021). https://doi.org/10.1007/s00025-021-01493-4
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DOI: https://doi.org/10.1007/s00025-021-01493-4
Keywords
- Locally compact abelian group
- weighted Orlicz space
- invariant set
- convex set
- Banach module
- compact multiplier