• Title/Summary/Keyword: parabolic operator of fractional order

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REPRESENTING SEQUENCES ON PARABOLIC BERGMAN SPACES

  • Hishikawa, Yosuke
    • Journal of the Korean Mathematical Society
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    • v.48 no.5
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    • pp.1017-1041
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    • 2011
  • 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.