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http://dx.doi.org/10.4134/JKMS.2011.48.5.1017

REPRESENTING SEQUENCES ON PARABOLIC BERGMAN SPACES  

Hishikawa, Yosuke (Department of general education Gifu National College of Technology)
Publication Information
Journal of the Korean Mathematical Society / v.48, no.5, 2011 , pp. 1017-1041 More about this Journal
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.
Keywords
parabolic operator of fractional order; Bergman space; representing sequence;
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