Abstract

We studied holomorphic functions and analytic functionals on the Np -ball which is a ball measured by a Np -norm in the complex Euclidean space in our previous papers. One of our results is that we expressed the Bergman kernel for a Hardy space on the Np -ball by a double series by means of homogeneous harmonic extended Legendre polynomials. The purpose of this article is to remark that our result on is also valid for C 2 and to calculate the coefficients in the double series expansion of the Bergman kernel which we could do only in the two-dimensional case.

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