Harmonic functions, defined as twice continuously differentiable functions satisfying Laplace’s equation, have long been a subject of intense study in both pure and applied mathematics. Their ...
Harmonic mappings and logharmonic functions occupy a central role in complex analysis and applied mathematics. Harmonic mappings are functions that satisfy Laplace’s equation and are frequently ...
Abstract. We prove gradient estimates for harmonic functions with respect to a d-dimensional unimodal pure-jump Lévy process under some mild assumptions on the density of its Lévy measure. These ...
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