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, ...
We obtain a sharp asymptotic relation between the infimum and the maximum on a circle of a subharmonic function of zero lower order. An example is constructed, which shows the sharpness of the ...
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 ...
Plurisubharmonic functions form a central tool in the study of several complex variables, offering a robust framework for analysing complex phenomena via potential theory. These functions, which are ...