Abstract
We study the action of the Laplace transform \(\mathcal L\) on rearrangement-invariant function spaces. We focus on the optimality of the range and the domain spaces.
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Acknowledgements
We thank the referee for thorough and critical reading of the paper, for many valuable comments and for turning our attention to some related literature. We thank Aleš Nekvinda and Jan Malý for stimulating discussions about certain parts of the paper.
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This research was supported by the Grant P201-13-14743S of the Grant Agency of the Czech Republic.
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Buriánková, E., Edmunds, D.E. & Pick, L. Optimal function spaces for the Laplace transform. Rev Mat Complut 30, 451–465 (2017). https://doi.org/10.1007/s13163-017-0234-5
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DOI: https://doi.org/10.1007/s13163-017-0234-5