The meromorphic Hardy class is the Nevanlinna class
نویسندگان
چکیده
منابع مشابه
On the extension in the Hardy classes and the Nevanlinna class
Using potential theoretic methods we give extension results for functions in various Hardy classes and in the Nevanlinna class in C". Our exceptional sets are polar or slightly larger n-small sets depending whether the majorant is a harmonic or separately hyperharmonic function.
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Considering functions f on Rn for which both f and f̂ are bounded by the Gaussian e 1 2 a|x| , 0 < a < 1 we show that their Fourier-Hermite coefficients have exponential decay. Optimal decay is obtained for O(n)−finite functions thus extending the one dimensional result of Vemuri [11].
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1981
ISSN: 0022-247X
DOI: 10.1016/0022-247x(81)90107-4