Convolution operators in A −∞ for convex domains

Author： Abanin Alexander  

Publisher： Springer Publishing Company

ISSN： 0004-2080

Source： Arkiv för Matematik, Vol.50, Iss.1, 2012-04, pp. : 1-22

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Abstract

We consider the convolution operators in spaces of functions which are holomorphic in a bounded convex domain in n and have a polynomial growth near its boundary. A characterization of the surjectivity of such operators on the class of all domains is given in terms of low bounds of the Laplace transformation of analytic functionals defining the operators.

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