<abstract xmlns="http://www.w3.org/1999/xhtml"><p> We discuss conditions that ensure the existence of radial limits a.e. for harmonic functions defined on the unit disc D. We give an example of a Banach-valued harmonic function without radial limits at almost every point on the boundary of D.</p></abstract>

We discuss conditions that ensure the existence of radial limits a.e. for harmonic functions defined on the unit disc D. We give an example of a Banach-valued harmonic function without radial limits at almost every point on the boundary of D.

On the Existence of Radial Limits

Departamento de Matemáticas Universidad de Sonora Rosales y Luis Encinas Hermosillo, Sonora, 83000 MÉXICO

Tatra Mountains Mathematical Publications

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"On the Existence of Radial Limits"}

We discuss conditions that ensure the existence of radial limits a.e. for harmonic functions defined on the unit disc D. We give an example of a Banach-valued...

On the Existence of Radial Limits

Published Online: Aug 15, 2014

Page range: 47 - 51

Received: Jul 24, 2013

DOI: https://doi.org/10.2478/tmmp-2014-0005

Keywords
harmonic functions, Fatou’s theorem

© 2014

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

On the Existence of Radial Limits

Published Online: Aug 15, 2014

Page range: 47 - 51

Received: Jul 24, 2013

DOI: https://doi.org/10.2478/tmmp-2014-0005

Keywordsharmonic functions, Fatou’s theorem

© 2014

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
harmonic functions, Fatou’s theorem