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, $p \geqslant 1$.References
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Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 297 (1986), 669-685
- MSC: Primary 31B25; Secondary 42B25, 46E35
- DOI: https://doi.org/10.1090/S0002-9947-1986-0854092-3
- MathSciNet review: 854092