2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/174058A class of subharmonic functions represented by the modified kernels are proved to have the growth estimates $u(z)= o(y^{1-α}|z|^{m+α})$ at infinity in the upper half plane ${\bf C}_{+}$, which generalizes the growth properties of analytic functions and harmonic functions.12 pagesFunctional AnalysisComplex Variables31B05, 31B10.text