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A Multilinear Young's Inequality

Published online by Cambridge University Press:  20 November 2018

Daniel M. Oberlin*
Affiliation:
Florida State University, TallahasseeFL 32306
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Abstract

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We prove an (n + l)-linear inequality which generalizes the classical bilinear inequality of Young concerning the LP norm of the convolution of two functions.

Keywords

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1988

References

1. Bergh, J. and Löfströ;m, J., Interpolation Spaces, Springer-Verlag, Berlin, 1976.Google Scholar
2. Coifman, R. R. and Meyer, Y., Fourier analysis of multilinear convolutions, Caldérons theorem, and analysis on Lipschitz curves, Euclidean harmonic analysis (College Park, Md., 1979), pp. 104-122, Lecture Notes in Math. 779, Springer-Verlag, Berlin, 1980.Google Scholar
3. Murray, M., Multilinear convolutions and transference, Michigan Math. J. 31 (1984), pp. 321330.Google Scholar
4. Oberlin, D., Multilinear convolutions defined by measures on spheres, Trans. Amer. Math. Soc, (to appear).Google Scholar
5. Oberlin, D., The size of sums of sets, Studia Math. 83 (1986), pp. 139146.Google Scholar