arXiv:1212.4715 Abstract | arXiv Analytics

arXiv:1212.4715 [math.CA]Abstract References Reviews Resources

Vector-valued extensions for fractional integrals of Laguerre expansions

Published 2012-12-19, updated 2017-02-21Version 3

We prove some vector-valued inequalities for fractional integrals defined in the context of two different orthonormal systems of Laguerre functions. Our results are based on estimates of the corresponding kernels with precise control of the parameters involved. As an application, mixed norm estimates for the fractional integrals related to the harmonic oscillator are deduced.

Comments: 21 pages. Revised version

Categories: math.CA, math.FA

Keywords: laguerre expansions, vector-valued extensions, laguerre functions, harmonic oscillator, precise control

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