Boundary behavior of generalized analytic functions

DOI10.1016/j.jfa.2014.01.004zbMath1295.30105OpenAlexW1991601712MaRDI QIDQ2253103

J. Hounie, Shiferaw Berhanu

Publication date: 25 July 2014

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2014.01.004

zbMATH Keywords

generalized analytic functionsVekua equationweak boundary valuesF. and M. Riesz propertyRudin-Carleson property

Mathematics Subject Classification ID

Generalizations of Bers and Vekua type (pseudoanalytic, (p)-analytic, etc.) (30G20)

Related Items (2)

Fatou's interpolation theorem implies the Rudin-Carleson theorem ⋮ Global solvability and global hypoellipticity of complex vector fields on surfaces

Cites Work

• On microlocal analyticity of solutions of first-order nonlinear PDE
• A microlocal F. and M. Riesz theorem with applications
• A constructive proof of the Fefferman-Stein decomposition of BMO(R**n)
• Global Cauchy problems modulo flat functions
• A Rudin-Carleson theorem for planar vector fields
• Infinitesimal bendings of homogeneous surfaces with nonnegative curvature
• A new method for infinitesimal rigidity of surfaces with \(K > 0\)
• Approximate solutions to Cauchy problems
• A General Rudin-Carleson Theorem
• Instability of the Cauchy-Kovalevskaya solution for a class of nonlinear systems
• A Generalization of the Rudin–Carleson Theorem
• Applied Pseudoanalytic Function Theory
• An F. and M. Riesz theorem for planar vector fields
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