충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제28권3호
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  • Pages.473-482
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  • 2015
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  • 1226-3524(pISSN)
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  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
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NOTES ON BERGMAN PROJECTION TYPE OPERATOR RELATED WITH BESOV SPACE

  • CHOI, KI SEONG (Department of Information Security Konyang University)
  • 투고 : 2015.07.02
  • 심사 : 2015.07.22
  • 발행 : 2015.08.15
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⟨ 이전 논문 다음 논문 ⟩

초록

Let Qf be the maximal derivative of f with respect to the Bergman metric $b_B$. In this paper, we will find conditions such that $(1-{\parallel}z{\parallel})^s(Qf)^p(z)$ is bounded on B. We will also find conditions such that Bergman projection type operator $P_r$ is bounded operator from $L^p(B,d{\mu}_r)$ to the holomorphic Besov p-space Bs $B^s_p(B)$ with weight s.

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참고문헌

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