Poisson integrals of regular functions

Dorronsoro, José R.

doi:10.1090/S0002-9947-1986-0854092-3

Poisson integrals of regular functions
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by José R. Dorronsoro PDF

Trans. Amer. Math. Soc. 297 (1986), 669-685 Request permission

Abstract:

Tangential convergence of Poisson integrals is proved for certain spaces of regular functions which contain the spaces of Bessel potentials of ${L^p}$ functions, $1 < p < \infty$, and of functions in the local Hardy space ${h^1}$, and the corresponding tangential maximal functions are shown to be of strong $p$ type, $p \geqslant 1$.

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