Fine analysis on lineally convex domains of finite type

2005/11/04 by Klas Diederich, K. Diederich, Diederich, K.
Mathematics · #32-02 #32A26 #32A35 #32F17 #32F18 #32F32 #32F45 #32T25 #32T27 #32T40 #32W05 #Algebraic and Geometric Analysis #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #math.CV #msc:32-02 #msc:32A26 #msc:32A35 #msc:32F17 #msc:32F18 #msc:32F32 #msc:32F45 #msc:32T25 #msc:32T27 #msc:32T40 #msc:32W05

paper · pdf · doi:10.48550/arxiv.math/0511121

15 pages, expanded version of a talk given at the conference in Complex Analysis in honor of H. Skoda, Paris, September 2005

arxiv created 2005/11/04 · openalex publication_date 2005/11/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A discussion of methods of nonisotropic fine quantitative complex analysis on lineally convex domains of finite type is given. The needed support functions with best possible estimates are considered together with the estimation of their corresponding Leray sections with respect to nonisotropic pseudodistances. The most recent developments in this subject are studied and open questions listed.

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