Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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REPRESENTING SEQUENCES ON PARABOLIC BERGMAN SPACES

  • Hishikawa, Yosuke (Department of general education Gifu National College of Technology)
  • Received : 2010.06.03
  • Published : 2011.09.01
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Abstract

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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References

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