In this paper we analyze Hertz potentials for free massless spin-s fields on the Minkowski spacetime, with data in weighted Sobolev spaces. We prove existence and pointwise estimates for the Hertz potentials using a weighted estimate for the wave equation. This is then applied to give weighted estimates for the solutions of the spin-s field equations, for arbitrary half-integer s. In particular, the peeling properties of the free massless spin-s fields are analyzed for initial data in weighted Sobolev spaces with arbitrary, non-integer weights. © 2014 Springer-Verlag Berlin Heidelberg.
CITATION STYLE
Andersson, L., Bäckdahl, T., & Joudioux, J. (2014). Hertz Potentials and Asymptotic Properties of Massless Fields. Communications in Mathematical Physics, 331(2), 755–803. https://doi.org/10.1007/s00220-014-2078-x
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