arXiv subjects
Publications and source records attributed to Pan Guoshuang.
A class of subharmonic functions represented by the modified kernels are proved to have the growth estimates u(x) =o(x_{n}^{1-alpha}|x|^{m+alpha})at infinity in the upper half space of Rn, which generalizes the growth properties of analytic functions and harmonic functions.
A class of subharmonic functions are proved to have the growth estimates $u(x)= o(x_n^{1-\fracα{p}}|x|^{\fracγ{p}+\frac{n-1}{q}-n+\fracα{p}})$ at infinity in the upper half space of ${\bf R}^{n}$, which generalizes the growth properties of analytic functions and harmonic functions.
A 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.