Abstract
We consider several types of multipliers on the Banach algebras related to the homogeneous space G/H, where G is a locally compact group and H is a compact subgroup. Among other things, we show that an analogue of Wendel’s result holds for these types of Banach algebras only when H is normal. We then investigate the characterization of all multipliers from \(L^1(G/H)\) into \(L^p(G/H)\) when they considered as left \(L^1(G/H)\)-module. Finally, we give some result for the case when G is compact and H is closed.
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All authors have same percent of contribution in the proving and collecting the results of the paper. But, in writing of the paper, the contribution of Hossein Javanshiri is 60 percent and the other two authors have 20 percent, respectively.
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Javanshiri, H., Yousefiazar, V. & Sattari, M.H. Multipliers on \(\hbox {L}^p\)-Spaces for Homogeneous Spaces. Iran J Sci Technol Trans Sci 45, 1805–1813 (2021). https://doi.org/10.1007/s40995-021-01175-4
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DOI: https://doi.org/10.1007/s40995-021-01175-4