Harmonic functions play a crucial role in mathematics. The same is true for a generalized class, for subharmonic functions. In this important area many authors, to mention just a few, Szpilrajn, Radó, ...

Complex Hessian equations extend the classical framework of the complex Monge–Ampère equation by involving the m-th elementary symmetric function of the eigenvalues of the complex Hessian. This ...

This is a preview. Log in through your library . Abstract Let s be a non-negative subharmonic function in the whole of the Euclidean space ${\bf R}^{n}$ (n ≥ 2) such that s ≢ 0, and let M(r) = max{s(x ...

This is a preview. Log in through your library . Abstract A theorem of Carlson says that a holomorphic function of exponential growth in the half-plane cannot approach zero exponentially along the ...