Boundary behavior of generalized analytic functions

We study the boundary properties of the solutions of the elliptic equation a(z)∂z¯u+b(z)∂zu+A(z)u+B(z)u¯=0 under the assumption that a and b are Hölder continuous and A and B are in Lp for some p>2. These properties include the Hp property, the F. and M. Riesz property and the Rudin–Carleson prop...

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Bibliographic Details
Published inJournal of functional analysis Vol. 266; no. 7; pp. 4121 - 4149
Main Authors Berhanu, S., Hounie, J.
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.04.2014
Subjects
F. and M. Riesz property
Generalized analytic functions
Rudin–Carleson property
Vekua equation
Weak boundary values
Rudin–Carleson property
Vekua equation
Generalized analytic functions
Weak boundary values
F. and M. Riesz property
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Summary:We study the boundary properties of the solutions of the elliptic equation a(z)∂z¯u+b(z)∂zu+A(z)u+B(z)u¯=0 under the assumption that a and b are Hölder continuous and A and B are in Lp for some p>2. These properties include the Hp property, the F. and M. Riesz property and the Rudin–Carleson property.
ISSN:0022-1236
1096-0783
DOI:10.1016/j.jfa.2014.01.004