Wiman-Valiron theory for the Dirac-Hodge equation on upper half-space of Rn+1

摘要

In this paper we study the asymptotic growth behavior of solutions to the Dirac-Hodge equation on upper half-space of Rn+1. By means of the Fourier transform we introduce lower and upper growth orders and generalizations of the maximum term and central index for this function class. Together with a Cauchy estimate we obtain an explicit lower and upper bound estimate of the maximum modulus M(xn,f) in terms of these notions.