We give a sufficient and necessary condition for an analytic function on the unit ball in with Hadamard gaps, that is, for where is a homogeneous polynomial of degree and for all , to belong to the weighted-type space and the corresponding little weighted-type space under some condition posed on the weighted funtion . We also study the growth rate of those functions in .
"Hadamard gap series in weighted-type spaces on the unit ball." Ann. Funct. Anal. 8 (2) 259 - 269, May 2017. https://doi.org/10.1215/20088752-0000011X