Duality of Hardy spaces and applications
碩士 === 國立高雄師範大學 === 數學系 === 91 === In this thesis, we are concerned about duality relations. We begin by transferring the duality theorem of Chang and Fefferman from the triple-upper half plane to the triple-disc, and prove the dual space of VMO(T^3 ) is H^1(△^3 ). Then we use this dualit...
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| Format: | Others |
| Language: | en_US |
| Published: |
2003
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| Online Access: | http://ndltd.ncl.edu.tw/handle/51102420508838904853 |
| Summary: | 碩士 === 國立高雄師範大學 === 數學系 === 91 === In this thesis, we are concerned about duality relations. We begin by transferring the duality theorem of Chang and Fefferman from the triple-upper half plane to the triple-disc, and prove the dual space of VMO(T^3 ) is H^1(△^3 ). Then we use this duality, together with the factorization theorem of Yang to prove the analogies of Nehari's theorem and Hartman's theorem for Hankel operators in the Hardy spaces of the triple-disc.
Since Toeplitz operators are closely related to Hankel operators, we also study some
properties of them in the Hardy spaces of the triple-disc.
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