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arxiv: 1904.12726 · v2 · pith:25P47K2Pnew · submitted 2019-04-29 · 🧮 math.AP

Equicontinuity of harmonic functions and compactness of potential kernels

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keywords compactnessequicontinuityfunctionsharmonickernelspotentialanalyticalapply
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Within the framework of balayage spaces (the analytical equivalent of nice Hunt processes), we prove equicontinuity of bounded families of harmonic functions and apply it to obtain criteria for compactness of potential kernels.

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