The Failure of Fatou's Theorem on Poisso
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Francisco J Freniche; Juan Carlos GarcΔ±Μa-VΓ‘zquez; Luis RodrΔ±Μguez-Piazza
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Article
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1998
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Elsevier Science
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English
β 292 KB
In this paper we prove that for every infinite-dimensional Banach space X and every 1 p<+ there exists a strongly measurable X-valued p-Pettis integrable function on the unit circle T such that the X-valued harmonic function defined as its Poisson integral does not converge radially at any point of