Multipliers for Besov spaces on graded Lie groups |
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| Authors: | Duván Cardona Michael Ruzhansky |
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| Affiliation: | 1. Mathematics Department, Universidad de los Andes, Carrera 1 No. 18a 10, Bogotá, Colombia;2. Department of Mathematics, Imperial College London, 180 Queen''s Gate, London SW7 2AZ, United Kingdom |
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| Abstract: | In this note, we give embeddings and other properties of Besov spaces, as well as spectral and Fourier multiplier theorems, in the setting of graded Lie groups. We also present a Nikolskii-type inequality and the Littlewood–Paley theorem that play a role in this analysis and are also of interest on their own. |
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