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Littlewood-Paley -Functions and Multipliers for the Laguerre Hypergroup

Abstract

Let where . Then can generate a hypergroup which is called Laguerre hypergroup, and we denote this hypergroup by K. In this paper, we will consider the Littlewood-Paley -functions on K and then we use it to prove the Hölmander multipliers on K.

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Correspondence to Jizheng Huang.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Huang, J. Littlewood-Paley -Functions and Multipliers for the Laguerre Hypergroup. J Inequal Appl 2011, 741095 (2011). https://doi.org/10.1155/2011/741095

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  • DOI: https://doi.org/10.1155/2011/741095

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  • Laguerre Hypergroup