대한수학회지 (Journal of the Korean Mathematical Society)

  • 제48권5호
  • /
  • Pages.1017-1041
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  • 2011
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  • 0304-9914(pISSN)
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  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
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REPRESENTING SEQUENCES ON PARABOLIC BERGMAN SPACES

  • Hishikawa, Yosuke (Department of general education Gifu National College of Technology)
  • 투고 : 2010.06.03
  • 발행 : 2011.09.01
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초록

The parabolic Bergman space is the set of $L^p(\lambda)$-solution of the parabolic operator $L^{(\alpha)}$. In this paper, we study representin sequences on parabolic Bergman spaces. We establish a discrete version of the reproducing formula on parabolic Bergman spaces by using fractional derivatives of the fundamental solution of the parabolic operator.

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참고문헌

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