Harmonic functions having no tangential limits
نویسندگان
چکیده
منابع مشابه
Tangential Convergence of Bounded Harmonic Functions on Generalized Siegel Domains
Suppose u(x, y) is a bounded harmonic function on the upper half plane such that lim x→∞ u(x, yo) = a for some yo > 0. Then one can prove that lim x→∞ u(x, y) = a for any other positive y. In this paper, we shall consider the algebra of radial integrable functions on the H-type groups and obtain a similar result for the bounded harmonic functions on generalized Siegel domain.
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1990
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1990-0990410-x