Eigenvalue decay of operators on harmonic function spaces
نویسندگان
چکیده
منابع مشابه
Eigenvalue Decay of Operators on Harmonic Function Spaces
Let Ω be an open set in R (d > 1) and h(Ω) the Fréchet space of harmonic functions on Ω. Given a bounded linear operator L : h(Ω) → h(Ω), we show that its eigenvalues λn, arranged in decreasing order and counting multiplicities, satisfy |λn| ≤ K exp(−cn ), where K and c are two explicitly computable positive constants.
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ژورنال
عنوان ژورنال: Bulletin of the London Mathematical Society
سال: 2009
ISSN: 0024-6093
DOI: 10.1112/blms/bdp068