• Bulletin of the Korean Mathematical Society
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• v.58 no.3
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• pp.781-794
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• 2021

Let Ω be a smoothly bounded pseudoconvex domain in ℂⁿ and assume that the (n - 2)-eigenvalues of the Levi-form are comparable in a neighborhood of z₀ ∈ bΩ. Also, assume that there is a smooth 1-dimensional analytic variety V whose order of contact with bΩ at z₀ is equal to 𝜂 and 𝚫_n-2(z₀) < ∞. We show that the maximal gain in Hölder regularity for solutions of the ${\bar{\partial}}$-equation is at most ${\frac{1}{\eta}}$.