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arXiv · 1407.2436

Solutions of Weinstein equations representable by Bessel Poisson integrals of BMO functions

Jorge J. Betancor·Alejandro J. Castro·Juan C. Fariña·Lourdes Rodríguez-Mesa
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Abstract

We consider the Weinstein type equation $\mathcal{L}_\lambda u=0$ on $(0,\infty )\times (0,\infty )$, where $\mathcal{L}_\lambda=\partial _t^2+\partial _x^2-\frac{\lambda (\lambda -1)}{x^2}$, with $\lambda >1$. In this paper we characterize the solutions of $\mathcal{L}_\lambda u=0$ on $(0,\infty )\times(0,\infty )$ representable by Bessel-Poisson integrals of BMO-functions as those ones satisfying certain Carleson properties.

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Jorge J. Betancor, Alejandro J. Castro, Juan C. Fariña, Lourdes Rodríguez-Mesa. 2014-07-09. Solutions of Weinstein equations representable by Bessel Poisson integrals of BMO functions. https://doi.org/10.1016/j.jmaa.2015.05.069

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