REPRESENTING SEQUENCES ON PARABOLIC BERGMAN SPACES

Title & Authors
REPRESENTING SEQUENCES ON PARABOLIC BERGMAN SPACES
Hishikawa, Yosuke;

Abstract
The parabolic Bergman space is the set of $\small{L^p(\lambda)}$-solution of the parabolic operator $\small{L^{(\alpha)}}$. 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;
Language
English
Cited by
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