Addendum to 'Gaussian Integral Means of Entire Functions'

摘要

We add one more theorem to our 2014 CAOT paper [Wang and Xiao (Complex Anal Oper Theory 8:1487-1505, 2014)] through deciding when the L-p integral mean on the disk {z is an element of C : vertical bar z vertical bar <= r} of a non-constant entire function with respect to the Gaussian area measure e(-alpha vertical bar z vertical bar 2) dA(z) is logarithmic convex or concave under (alpha, p) is an element of R x (0, infinity).