Frontiers of Mathematics in China >

2013 , Vol. 8 >Issue 6: 1265 - 1274

DOI: https://doi.org/10.1007/s11464-013-0324-8

RESEARCH ARTICLE

Harmonic functions with boundary values on Herz spaces

  • Martha GUZMÁN-PARTIDA
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  • Departamento de Matemáticas, Universidad de Sonora, Rosales y Luis Encinas, Hermosillo, Sonora, 83000, México

Received date: 19 Jun 2013

Accepted date: 24 Jul 2013

Published date: 01 Dec 2013

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg
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Abstract

We discuss continuity of the Poisson transform on Herz spaces Bp as well as its action on weighted versions of these sets. We also consider Banachvalued versions of Herz spaces and study some of their properties.

Key words： Herz space; Poisson transform

Cite this article

Martha GUZMÁN-PARTIDA . Harmonic functions with boundary values on Herz spaces[J]. Frontiers of Mathematics in China, 2013 , 8(6) : 1265 -1274 . DOI: 10.1007/s11464-013-0324-8

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