The Hausdorff–Young inequality on Lie groups

Author:

Cowling Michael G.ORCID,Martini AlessioORCID,Müller Detlef,Parcet Javier

Funder

Engineering and Physical Sciences Research Council

Australian Research Council

Consejo Superior de Investigaciones Científicas

Ministerio de Economía, Industria y Competitividad, Gobierno de España

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference68 articles.

1. Andersson, M.E.: The Hausdorff–Young inequality and Fourier type. Ph.D. thesis, Uppsala (1993)

2. Andersson, M.E.: Local variants of the Hausdorff–Young inequality. In: Gyllenberg, M., Persson, L.-E. (eds.) Analysis, Algebra, and Computers in Mathematical Research, (Luleå, 1992). Lecture Notes in Pure and Applied Mathematics, vol. 156, pp 25–34. Dekker, New York (1994)

3. Babenko, K.I.: An inequality in the theory of Fourier integrals. Izv. Akad. Nauk SSSR Ser. Mat. 25, 531-542 (1961) (Russian)

4. translated as Am. Math. Soc. Transl. Ser. 2 44:115-128 (1962)

5. Baklouti, A., Ludwig, J., Scuto, L., Smaoui, K.: Estimate of the $$L^p$$-Fourier transform norm on strong $$\ast $$-regular exponential solvable Lie groups. Acta Math. Sin. (Engl. Ser.) 23, 1173–1188 (2007)

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