• 제목, 요약, 키워드: Dirichlet space

검색결과 52건 처리시간 0.027초

Multipliers on the dirichlet space $D(Omega)$

  • Nah, Young-Chae
    • 대한수학회논문집
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    • v.10 no.3
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    • pp.633-642
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    • 1995
  • Recently S. Axler proved that every sequence in the unit disk U converging to the boundary contains an interpolating subsequence for the multipliers of the Dirichlet space D(U). In this paper we generalizes Axler's result to the finitely connected planer domains such that the Dirichlet spaces are contained in the Bergman spaces.

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DIRICHLET-JORDAN THEOREM ON $SIM$ SPACE

  • Kim, Hwa-Joon;Lekcharoen, S.;Supratid, S.
    • Korean Journal of Mathematics
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    • v.17 no.1
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    • pp.37-41
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    • 2009
  • We would like to propose Dirichlet-Jordan theorem on the space of summable in measure(SIM). Surely, this is a kind of extension of bounded variation([1, 4]), and considered as an application of fuzzy set such that ${\alpha}$-cut is 0.

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THE CORONA THEOREM FOR BOUNDED FUNCTIONS IN DIRICHLET SPACE

  • Nah, Young-Chae
    • 충청수학회지
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    • v.10 no.1
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    • pp.141-146
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    • 1997
  • In this paper we prove that the corona theorem for the algebra $H^{\infty}(D){\cap}D(D)$. That is, we prove that $\mathcal{M}{\setminus}{\overline{D}}$ is an empty set where $\mathcal{M}$ is the maximal ideal space of the given algebra.

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