A criterion for subharmonicity of a function of the spectrum
A generalization of the Phragmén-Lindelöf principle for elliptic differential equations.
A Geometric Property of Functions Harminic in a Disk.
A new class of harmonic multivalent functions defined by an integral operator.
A Note on Tolstov's Theorem on Harmonic Functions in the Plane.
A Sharp Inequality for Subharmonic Functions on Two-Dimensional Manifolds.
A sub-regularity inequality for conjugate systems on local fields
An application of subordination on harmonic function.
Angular Limits of Holomorphic Functions Which Satisfy an Integrability Condition.
Application of the subordination principle to the harmonic mappings convex in one direction with shear construction method.
Approximation by harmonic polynomials in star-shaped domains and exponential convergence of Trefftz hp-dGFEM
We study the approximation of harmonic functions by means of harmonic polynomials in two-dimensional, bounded, star-shaped domains. Assuming that the functions possess analytic extensions to a δ-neighbourhood of the domain, we prove exponential convergence of the approximation error with respect to the degree of the approximating harmonic polynomial. All the constants appearing in the bounds are explicit and depend only on the shape-regularity of the domain and on δ. We apply the obtained estimates...
Asymptotic Paths for Subharmonic Functions.
Asymptotic tracts of harmonic functions. III.