On the Sierpiński gasket, functions in the domain of the first-order operator ∂⊥_{V0} built from a divergence-free minimal-energy one-form admit, at junction points, the pointwise representation lim_{m→∞} −∫_{K_{w i^m}} f dν_ω = n⃗·(fω)(F_w q_i) / n⃗·ω(F_w q_i).
Integrals and potentials of differential 1-forms on the S ierpinski gasket
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On the domains of first order differential operators on the Sierpi\'{n}ski gasket
On the Sierpiński gasket, functions in the domain of the first-order operator ∂⊥_{V0} built from a divergence-free minimal-energy one-form admit, at junction points, the pointwise representation lim_{m→∞} −∫_{K_{w i^m}} f dν_ω = n⃗·(fω)(F_w q_i) / n⃗·ω(F_w q_i).