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Nilradicals of power series rings and nil powerseries rings
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Abstract
On the setting of the upper half-space {mathbf H} of theEuclidean n-space, we show the boundedness of weighted Bergmanprojection for 1<p<infty and nonorthogonal projections for1leq p<infty. Using these results, we show that Bergman normis equivalent to the normal derivative norms on weighted harmonicBergman spaces. Finally, we find the dual of $b_\alpha^1$.
참고문헌 (8)
- "Behavior of holomorphic functions near weakly pseudoconvexboundary points", 40(3), pp.915~ (1991)
- "Bergman norm estimates of Poisson integrals", 161, pp.85~125 (2001)
- "Moment vanishing properties of harmonic Bergman functions"
- "Representation theorems for holomorphic and harmonic functions in L^p", pp.11~77 (1980)
- "Estimates of the harmonic Bergman kernel on smooth domains", 185, pp.220~ (2001)
- "Weighted harmonicBergman kernel on Half-spaces"
- "Theory of Bergman spaces" (2000), Springer-Verlag
- "Harmonic Bergman functions onhalf-spaces", 348, pp.633~ (1996)
관련 논문AI추천
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