English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Open

In 1979 J.J. Kohn gave an indirect argument via the Diederich-Forn\ae ssTheorem showing that finite D'Angelo type implies termination of the Kohnalgorithm for a pseudoconvex domain with real-analytic boundary. We give here adirect argument for this same implication using the stratification coming fromCatlin's notion of a boundary system as well as algebraic geometry on the ringof real-analytic functions. We also indicate how this argument could be used inorder to compute an effective lower bound for the subelliptic gain in the$\bar\partial$-Neumann problem in terms of the D'Angelo type, the dimension ofthe space, and the level of forms provided that an effective \L ojasiewiczinequality can be proven in the real-analytic case and slightly moreinformation obtained about the behavior of the sheaves of multipliers in theKohn algorithm.

Direct Proof of Termination of the Kohn Algorithm in the Real-Analytic Case