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Global boundary regularity for the $\bar{p a r t i a l}$ -equation on $q$ -pseudo-convex domains

Heungju Ahn — 2005

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

For a bounded domain $D$ of $C^{n}$ , we introduce a notion of « $q$ -pseudoconvexity» of new type and prove that for a given $\bar{\partial}$ -closed $(p, r)$ -form $f$ that is smooth up to the boundary on $D$ , and for $r \geq q$ , there exists a $(p, r - 1)$ -form $u$ smooth up to the boundary on $D$ which is a solution of the equation $\bar{\partial} u = f$

Weighted L estimates for the Cauchy-Riemann equation on convex domains of finite type.

Heungju Ahn — 2004

Publicacions Matemàtiques

Hölder Type Estimates for the $\bar{\partial}$ -equation in Strongly Pseudoconvex Domains

Heungju Ahn; Hong Rae Cho; Jong-Do Park — 2008

Rendiconti del Seminario Matematico della Università di Padova

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Currently displaying 1 – 3 of 3

Global boundary regularity for the p ⁢ a ⁢ r ⁢ t ⁢ i ⁢ a ⁢ l ¯ -equation on q -pseudo-convex domains

Weighted L estimates for the Cauchy-Riemann equation on convex domains of finite type.

Hölder Type Estimates for the ∂ ¯ -equation in Strongly Pseudoconvex Domains

Global boundary regularity for the $\bar{p a r t i a l}$ -equation on $q$ -pseudo-convex domains

Hölder Type Estimates for the $\bar{\partial}$ -equation in Strongly Pseudoconvex Domains