A pure smoothness condition for radó’s theorem for α-analytic functions

Title:

A pure smoothness condition for radó’s theorem for α-analytic functions

Creator:

Daghighi, Abtin and Wikström, Frank

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:b40eee2f-624e-4d69-845f-35b85668ea8e
uuid:b40eee2f-624e-4d69-845f-35b85668ea8e
issn:0011-4642

Subject:

matematika, analytické funkce, mathematics, analytic functions, α-analytic function, polyanalytic function, zero set, Radó’s theorem, 13, and 51

Type:

model:article and TEXT

Format:

print, bez média, and svazek

Description:

Let \Omega \subset {{\Bbb C}^n} be a bounded, simply connected \mathbb{C} -convex domain. Let \alpha \in \mathbb{Z}_{+}^{n} and let f be a function on Ω which is separately {C^{2{\alpha _j} - 1}} -smooth with respect to zj (by which we mean jointly {C^{2{\alpha _j} - 1}} -smooth with respect to Rezj, Imzj). If f is α-analytic on Ω\f−1(0), then f is α-analytic on Ω. The result is well-known for the case a_{i}=1, 1\leqslant i\leqslant n even when f a priori is only known to be continuous., Abtin Daghighi, Frank Wikström., and Obsahuje seznam literatury

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

57-62

Source:

Czechoslovak Mathematical Journal | 2016 Volume:66 | Number:1

Harvested from:

CDK

Metadata only:

false